{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Guided mode expansion for a multi-layer grating" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import legume\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Asymmetric grating\n", "In this notebook we will reproduce some of the results from the paper \"Perfect single-sided radiation and absorption without mirrors\", Zhou et al., Optica 3 (2016). We first initialize an asymmetric grating as shown in Fig. 2(a) of the paper." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Grating parameters as for Fig. 3 (b)\n", "ymax = 0.1 # ficticious supercell length in y-direction, should be smaller than 1/gmax below\n", "W = 0.45 # width of dielectric rods\n", "H = 1.5 # total height of grating\n", "D = 0.1 # thickness of added parts\n", "Wa = (1-W)/2 # width of added parts\n", "epss = 1.45**2 # permittivity of the rods\n", "epsa = 1.1**2 # permittivity of the added parts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Build the grating as a three-layer structure\n", "\n", "The grating can be initialized as a three-layer photonic crystal. We take a rectangular lattice with a small periodicity in the y-direction. If `ymax < 1/gmax`, then only reciprocal lattice vectors with $G_y = 0$ will be included in the expansion, as should be for a grating." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAATcAAALhCAYAAAA6reOdAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8pXeV/AAAACXBIWXMAAA9hAAAPYQGoP6dpAAA6GklEQVR4nO3de3RU5b3/8U+uk4AkXEJuECBWuQiKGFQicpMaDRVrSwseXdyq1FQuaorWaI9Ce2qqRcuxIBwskioXqQJKF5SScyREJVQCSdWCqDWaiIkIQgIRcn1+f/jL1E1uMyGT7Nm+X2vttZw9z579TYwfn+88e/YEGGOMAMBhAju7AADwBcINgCMRbgAciXAD4EiEGwBHItwAOBLhBsCRgju7AAD2cfbsWVVXV7c6LjQ0VGFhYR1QUdsRbgAkfR1s4eHhHo2NjY1VUVGRrQOOthSAJHk0Y2tQVlbm1fjOQLgBcCTaUgCNBAQENPucv3wcnZkbAEci3AA4Em0pAIuAgIAW21LJP1pTZm4AHIlwA+BItKUALGhLAcDGmLkBsAgMDGz1Orf6+voOrKhtmLkBcCTCDYAj0ZYCsPBkQcEfMHNDkz777DMtWrRIhYWFnV1Km7z44ou6/PLLFRYWpvj4eN177706ffp0Z5eFDkS4oUmfffaZFi9e7Jfhtm7dOv3Hf/yHrrzySv31r3/Vo48+qqysLP3whz/s7NLQgWhL4Sh1dXW6//77lZKSomeffVaSNGHCBHXr1k233367/vrXvyo1NbWTq7Q32lK0u7Nnz2rEiBG66KKLVF5e7t5fVlam2NhYjR8/XnV1dfr444/df4BNbS358MMPNXv2bF188cXq0qWL+vTpo8mTJ+udd95xj8nJydGVV14pSZo9e7b7dRctWtTka3788ccKDg5WZmZmo+dyc3MVEBCgl156qQ2/Ee/t3btXpaWlmj17tmX/j3/8Y11wwQXasmVLh9SBzke42UhYWJj+/Oc/6+jRo/rJT34iSaqvr9ftt98uY4w2bNigoKAgxcXFKS8vz7Jt3bpVERERGjJkSIvn+Oyzz9SrVy/99re/1Y4dO7R8+XIFBwfr6quv1uHDhyVJV1xxhdasWSNJ+uUvf+k+x5133tnkaw4YMEA333yzVq5cqbq6Ostzy5YtU3x8vH7wgx+0WFdtba1HW2tXxr/77ruSpMsuu8yyPyQkRIMHD3Y/j28BA9vZuHGjkWSWLl1qHnnkERMYGGh27tzZ7PjKykpz1VVXmbi4OPPxxx97da7a2lpTXV1tLr74YnPfffe59+/bt89IMmvWrPHodXbt2mUkmS1btrj3HTlyxAQHB5vFixe3erwkj7bW6vnNb35jJJnS0tJGz6WkpJiBAwd69PN8G5WXlxtJxuVymbCwsGY3l8tlJJny8vLOLrlFvOdmQ1OnTlVOTo7uv/9+1dXV6aGHHtL111/f5Ni6ujpNmzZNhw4dUm5urvr379/ia9fW1uqJJ57Q2rVr9eGHH6qmpsb93KFDh9pc8/jx4zV8+HAtX75ct9xyiyRp5cqVCggI0E9/+tNWj9+3b59H50lMTPRoXHPtuRPeS4JnCDeb+slPfqIVK1YoNDRUCxYsaHZcWlqaduzYoW3btunyyy9v9XXT09O1fPly/eIXv9C4cePUo0cPBQYG6s4779SZM2fOq+YFCxbozjvv1OHDh3XhhRfq2Wef1Y9+9CPFxsa2eqwntUtSUFBQi8/36tVLknT8+HHFxMRYnvvyyy/Vs2dPj84DB+jsqSMaO336tBk8eLAZOHCgiYyMNDfffHOT4x599FGvWkdjjOnRo4eZNWtWo/19+vQx48aNcz/2ti01xpgzZ86YqKgoM3/+fLNu3TojybzxxhseHat2akvffPNNI8m8+OKLlv01NTXmggsuMHPmzPH45/m2aWhLw8LCTHh4eLNbWFgYbSnaJi0tTcXFxXrrrbf03nvv6Uc/+pF+//vf67777nOPWb16tRYvXqxf/epXmjVrlsevHRAQIJfLZdm3bds2HTlyRBdddJF7X8MYb2ZzYWFh+ulPf6ply5Zpz549uvzyyzV69GiPjm2vtvTqq69WXFycsrKyNG3aNPf+l19+WadPn+Zat2+Tzk5XWD377LONZijz5s0zISEh5u9//7sxxpg9e/aY4OBgM3r0aJOXl9doa8mMGTOMy+Uyv//9783//d//mSeeeML07t3b9O3b1zJzq6ysNOHh4Wb06NFm165dZt++febIkSOt1v/pp5+a4OBgI8n88Y9/bNPv4Hy98MILRpL56U9/anbt2mVWrVplunfvbq6//vpOqcdfNMzcwsPDTZcuXZrdwsPD/WLmRrjZyNtvv23Cw8PNzJkzLfvPnj1rkpKSzIABA8yJEyfMmjVrWmzdWnLixAlzxx13mOjoaNOlSxdz7bXXmtdff92MGzfOEm7GGLNhwwYzePBgExISYiSZRx991KOfY/z48aZnz57mq6++8uKnb1/r1683l112mQkNDTWxsbFmwYIF5tSpU51Wjz9wWrgFGOMHt9SE3zh69Kj69++v+fPn64knnujscuCFiooKRUZGKjw8vNX7uZ05c0bl5eWKiIjowAq9w3tuaBeffvqpPvroI/3ud79TYGCg7rnnns4uCW3kyc0q/QGfUEC7+OMf/6jx48frn//8p9atW6c+ffp0dkn4lqMtBSDp321p165dW525VVZW2r4t9enMLTMzU1deeaW6deum6Oho3XLLLe7PLzYnJyenyQ+Dv/fee74sFcD/19JNGfzpjiE+Dbfdu3dr7ty52rt3r7Kzs1VbW6uUlBRVVla2euzhw4dVWlrq3i6++GJflgrAYXy6oLBjxw7L4zVr1ig6Olr79+/X2LFjWzw2Ojpa3bt392F1AJysQ1dLG+5R5snn+0aMGKGzZ8/qkksu0S9/+UtNmDChyXFVVVWqqqpyP66vr9eXX36pXr16+c30GfCEMUanTp1SfHy8AgN913T5U+vZkg4LN2OM0tPTde2112rYsGHNjouLi9OqVauUlJSkqqoqvfDCC5o4caJycnKanO1lZmZq8eLFviwdsJWSkhL17du3s8uwvQ5bLZ07d662bdumN954w+t/MZMnT1ZAQIC2bt3a6LlzZ27l5eXq16+fSkpKbL2SA3iroqJCCQkJOnnypCIjI33y+pGRkYqIiGh1tbSiosL2q6UdMnObP3++tm7dqtzc3Db9H2fUqFFau3Ztk8+5XK5GHwSXpIiICFv/4oG2ckLL2BF8Gm7GGM2fP19btmxRTk6OxzcaPFdBQYHi4uLauToATubTcJs7d67Wr1+vV199Vd26dVNZWZkkuT+/JkkZGRk6cuSInn/+eUnS0qVLNWDAAA0dOlTV1dVau3atNm3apE2bNvmyVAD/HwsKHlixYoWkr29B/U1r1qxx34OstLRUxcXF7ueqq6u1cOFCHTlyROHh4Ro6dKi2bdumSZMm+bJUAA7juI9fNbwpavc3OwFv+fpvu+H1IyMjW11QKC8vt/1/Y9wVBICFU9pS7goCwJEINwCORFsKwCIgIKDFj3fV19d3YDVtx8wNgCMxcwNg0dqCgr8sNjBzA+BIhBsAR6ItBWBBWwoANka4AXAk2lIAFrSlAGBjhBsAR6ItBWBBWwoANka4AXAk2lIAFrSlAGBjzNwAWAQGBrZ4Pzd/4f8/AQBby8zM1JVXXqlu3bopOjpat9xyiw4fPtzqcbt371ZSUpLCwsJ04YUXauXKlV6dl3AD4FO7d+/W3LlztXfvXmVnZ6u2tlYpKSmqrKxs9piioiJNmjRJY8aMUUFBgR566CEtWLDAq+8v5qv9AD/RUV/tFxcX1+ptxktLS9tcxxdffKHo6Gjt3r1bY8eObXLML37xC23dulWHDh1y70tLS9M//vEP5eXleXQeZm4A2qSiosKyVVVVeXRceXm5JKlnz57NjsnLy1NKSopl3w033KD8/HzV1NR4dB7CDUCbJCQkuL/EOTIyUpmZma0eY4xRenq6rr32Wg0bNqzZcWVlZYqJibHsi4mJUW1trY4dO+ZRfayWArDw9Dq3kpISS1vqcrlafe158+bp7bff1htvvOFRHd/U8A6ap9fZEW4A2iQiIsKr99zmz5+vrVu3Kjc3V3379m1xbGxsrMrKyiz7jh49quDgYPXq1cuj89GWAvApY4zmzZunzZs367XXXlNiYmKrxyQnJys7O9uyb+fOnRo5cqRCQkI8Oi/hBsCioS1tafPG3LlztXbtWq1fv17dunVTWVmZysrKdObMGfeYjIwMzZgxw/04LS1Nn3zyidLT03Xo0CE999xzWr16tRYuXOjxeQk3AD61YsUKlZeXa/z48YqLi3NvGzdudI8pLS1VcXGx+3FiYqK2b9+unJwcXX755fr1r3+tp59+WlOmTPH4vLznBsCivT8478mltFlZWY32jRs3TgcOHPDqXN/EzA2AIxFuAByJthSABfdzAwAbI9wAOBJtKQALblYJADZGuAFwJNpSABaslgKAjTFzA2DBzA0AbIxwA+BItKUALGhLAcDGCDcAjkRbCqARf2k9W8LMDYAjEW4AHIm2FIBFa3cF8eQ7EeyAmRsARyLcADgSbSkACy7iBQAbY+YGwIKZGwDYGOEGwJFoSwFYcJ0bANgY4QbAkWhLAViwWgoANka4AXAk2lIAFqyWAoCNMXMDYMGCAgDYGOEGwJFoSwFY0JYCgI0RbgAcibYUgAXXuQGAjRFuAByJthSABaulAGBjzNwAWLCgAAA2RrgBcCSfhltmZqauvPJKdevWTdHR0brlllt0+PDhVo/bvXu3kpKSFBYWpgsvvFArV670ZZkAvqFhQaGlzR/4NNx2796tuXPnau/evcrOzlZtba1SUlJUWVnZ7DFFRUWaNGmSxowZo4KCAj300ENasGCBNm3a5MtSATiMTxcUduzYYXm8Zs0aRUdHa//+/Ro7dmyTx6xcuVL9+vXT0qVLJUlDhgxRfn6+lixZoilTpviyXAAO0qHvuZWXl0uSevbs2eyYvLw8paSkWPbdcMMNys/PV01NTaPxVVVVqqiosGwA2i4gIMC9YtrURlt6DmOM0tPTde2112rYsGHNjisrK1NMTIxlX0xMjGpra3Xs2LFG4zMzMxUZGeneEhIS2r12AP6nw8Jt3rx5evvtt7Vhw4ZWx577f4aG62qa+j9GRkaGysvL3VtJSUn7FAzAr3XIRbzz58/X1q1blZubq759+7Y4NjY2VmVlZZZ9R48eVXBwsHr16tVovMvlksvlatd6gW8zPn7lAWOM5s2bp82bN+u1115TYmJiq8ckJycrOzvbsm/nzp0aOXKkQkJCfFUqAIfxabjNnTtXa9eu1fr169WtWzeVlZWprKxMZ86ccY/JyMjQjBkz3I/T0tL0ySefKD09XYcOHdJzzz2n1atXa+HChb4sFYDD+DTcVqxYofLyco0fP15xcXHubePGje4xpaWlKi4udj9OTEzU9u3blZOTo8svv1y//vWv9fTTT3MZCNBBnHIRr0/fc/PkA7ZZWVmN9o0bN04HDhzwQUUAvi24KwgAi9buCtLSc3biH1UCgJcINwCORFsKwILr3ADAxgg3AI5EWwrAgtVSALAxwg2AI9GWArBgtRQAbIyZGwALZm4AYGOEGwBHoi0FYMF1bgBgY4QbAEeiLQVgwWopANgY4QbAkWhLAViwWgoANsbMDYAFCwoAYGOEGwBHoi0FYEFbCgA2RrgBcCTaUgAWAQEBLV7LRlsKAJ2IcAPgSLSlACxYLQUAGyPcADgSbSkAC+4KAgA2xswNgAULCgBgY4QbAEeiLQVgwYICANgY4QbAkWhLAViwWgoANka4AXAk2lIAFrSlAGBjzNwAWDBzAwAbI9wAOBJtKQAL2lIAsDHCDYAj0ZYCsKAtBQAbI9wAOBJtKQAL2lIAsDHCDYBFw8ytpc0bubm5mjx5suLj4xUQEKBXXnml1WPWrVun4cOHq0uXLoqLi9Ps2bN1/Phxr85LuAHwqcrKSg0fPlzLli3zaPwbb7yhGTNm6I477tA///lPvfTSS9q3b5/uvPNOr87Le24AfCo1NVWpqakej9+7d68GDBigBQsWSJISExN111136YknnvDqvMzcAFh42pZWVFRYtqqqqnY5/zXXXKNPP/1U27dvlzFGn3/+uV5++WV973vf8+p1CDcAbZKQkKDIyEj3lpmZ2S6ve80112jdunWaNm2aQkNDFRsbq+7du+sPf/iDV69DuAFok5KSEpWXl7u3jIyMdnndgwcPasGCBXrkkUe0f/9+7dixQ0VFRUpLS/PqdXjPDYCFp1/KHBERoYiIiHY/f2ZmpkaPHq37779fknTZZZepa9euGjNmjP7rv/5LcXFxHr0OMzcAtvLVV181CtegoCBJkjHG49ch3AD41OnTp1VYWKjCwkJJUlFRkQoLC1VcXCxJysjI0IwZM9zjJ0+erM2bN2vFihX66KOP9Oabb2rBggW66qqrFB8f7/F5aUsBWLT3x6/y8/M1YcIE9+P09HRJ0syZM5WVlaXS0lJ30EnSrFmzdOrUKS1btkw///nP1b17d1133XV6/PHHvfs5jDfzPD9QUVGhyMhIlZeX++T9AKCz+Ppvu+H1p06dqpCQkGbH1dTU6M9//rPt/xujLQXgSLSlABrxlzt/tISZGwBHYuYGwIL7uQGAjRFuAByJttTm6urqvLoqG1YBAQEtfpTIX3RkK+iUtpRws7mamhrV19d3dhl+KzAwUKGhoZ1dxnnzl0CxE8LNxowxqq6ubrf7ZH0bhYaGKjjY///MCTfv+f+/dYc7deqUTp061dll+K2uXbsqLCzM78Oh4YPjHYG2FB3i5MmT+vzzzzu7DL8VFRWlqKiozi7jvAQEBPC+axsQbjZmjNHx48f1/vvvd3YpfssYo8TERL+ZbTSFcGsbn4Zbbm6ufve732n//v0qLS3Vli1bdMsttzQ7Picnx3L3gAaHDh3S4MGDfVipfR05ckQfffRRZ5fht8LCwpSUlOT34dbR56MtbUXDV3rNnj1bU6ZM8fi4w4cPW+420Lt3b1+U5xfOvR0MvNOjRw/V1tb69eUggYGBzNzawKfh5u1XejWIjo5W9+7d278gP2OM0RdffKF//etfnV2K34qLi1NtbW2HviHf3urr6zs03Ji5+dCIESN09uxZXXLJJfrlL3/ZZKvaoKqqynKpREVFRUeU2GHKy8t15MiRzi7Db504cUJ1dXWdXcZ58ZcwsRtbhVtcXJxWrVqlpKQkVVVV6YUXXtDEiROVk5OjsWPHNnlMZmamFi9e3MGVdpzKykqdPHmys8vwW5WVlaqvr/frgPDnlroz2SrcBg0apEGDBrkfJycnq6SkREuWLGk23DIyMty3LZa+nrklJCT4vNaOUlNTozNnznR2GX6rurpaxhi/fs+qoz+h4pS21Pb/Sxg1apQ++OCDZp93uVzurxjz1VeNdSZ//o/SDvjo2reX7cOtoKDA4+8pBIAGPm1LT58+rQ8//ND9uOErvXr27Kl+/fopIyNDR44c0fPPPy9JWrp0qQYMGKChQ4equrpaa9eu1aZNm7Rp0yZflgngG5zSlvo03Lz9Sq/q6motXLhQR44cUXh4uIYOHapt27Zp0qRJviwTgAP5NNzGjx/f4ntGWVlZlscPPPCAHnjgAV+WBOBbwlarpQA6n1PaUtsvKABAWxBuAByJthSABW0pANgYMzcAFszcAMDGCDcAjkRbCsDCKW0p4QZHCwwMbPU/Vrvjfm5tQ7jB0QICAhQUFOTXAeHPtXcmwg2OFhAQoMDAQL/+DoWG2WdHoS0F/EBgYKCCg4MVHMyf+rcN/8bhaA3h5s+tnb+/Z9hZCDc4WkNLSri13/n8JWgJNziaExYU0DaEGxwtMDDQvfkrZm5tQ7jB0ZywWoq2IdzgaA3h5i+zjeb4e/2dgXCDozW0WP7clnY0p7Sl/BsH4EiEGwBHoi0FYEFbCgA2RrgBcCTaUgAWtKUAYGPM3AA04i+zs5YwcwPgSIQbAEeiLQVgwYICANgY4QbAkWhLAVjQlgKAjRFuAByJthSABW0pANgY4QbAkWhLAVjQlgKAjTFzA2DBzA0AbIxwA+BItKUALAIDA1v8Emt/+YJr/6gSALxEuAFwJNpSABaslgKAjRFuAByJthSABW0pANgYMzcAFszcAMDGCDcAjkRbCsCCthQAbIxwA+BItKUALGhLAcDGCDcAjkRbCsCCthQAbIyZGwALZm4AYGOEGwBHoi0FYEFbCgA2RrgBcCTaUgAWtKUAYGOEGwBHoi0FYEFbCgA2RrgBcCTaUgAWAQEBCgxsft5DWwoAnYiZGwALFhQAwMYINwCO5NNwy83N1eTJkxUfH6+AgAC98sorrR6ze/duJSUlKSwsTBdeeKFWrlzpyxIBnKOhLW1p8wc+DbfKykoNHz5cy5Yt82h8UVGRJk2apDFjxqigoEAPPfSQFixYoE2bNvmyTAAO5NMFhdTUVKWmpno8fuXKlerXr5+WLl0qSRoyZIjy8/O1ZMkSTZkyxUdVAnAiW73nlpeXp5SUFMu+G264Qfn5+aqpqWnymKqqKlVUVFg2AG1HW+oDZWVliomJseyLiYlRbW2tjh071uQxmZmZioyMdG8JCQkdUSoAm7NVuEmNr6ExxjS5v0FGRobKy8vdW0lJic9rBGB/trqINzY2VmVlZZZ9R48eVXBwsHr16tXkMS6XSy6XqyPKA74VuIjXB5KTk5WdnW3Zt3PnTo0cOVIhISGdVBUAf+TTcDt9+rQKCwtVWFgo6etLPQoLC1VcXCzp65ZyxowZ7vFpaWn65JNPlJ6erkOHDum5557T6tWrtXDhQl+WCeAbnLKg4NO2ND8/XxMmTHA/Tk9PlyTNnDlTWVlZKi0tdQedJCUmJmr79u267777tHz5csXHx+vpp5/mMhAAXvNpuI0fP969INCUrKysRvvGjRunAwcO+LAqAN8GtlpQAND5WFAAABsj3AA4Em0pAAvaUgDwQFtufVZVVaWHH35Y/fv3l8vl0ne+8x0999xzXp2XmRsAn2q49dns2bM9vqxr6tSp+vzzz7V69WpddNFFOnr0qGpra706L+EGwKK921Jvb322Y8cO7d69Wx999JF69uwpSRowYIBX55RoSwG00bm3GquqqmqX1926datGjhypJ554Qn369NHAgQO1cOFCnTlzxqvXYeYGwMLTmdu5txd79NFHtWjRovM+/0cffaQ33nhDYWFh2rJli44dO6a7775bX375pVfvuxFuANqkpKREERER7sftdXee+vp6BQQEaN26dYqMjJQkPfXUU/rRj36k5cuXKzw83KPXoS0F0CYRERGWrb3CLS4uTn369HEHm/T1Vw4YY/Tpp596/DqEGwCLwMDAVjdfGj16tD777DOdPn3ave/9999XYGCg+vbt6/HrEG4AfMrbW5/ddttt6tWrl2bPnq2DBw8qNzdX999/v37yk5943JJKhBsAH8vPz9eIESM0YsQISV/f+mzEiBF65JFHJKnRrc8uuOACZWdn6+TJkxo5cqRuv/12TZ48WU8//bRX52VBAYBFe1/n1pZbnw0ePLjRXbm9xcwNgCMRbgAcibYUgAV3BQEAGyPcADgSbSkAC9pSALAxZm4ALJi5AYCNEW4AHIm2FIAFbSkA2BjhBsCRaEsBNOIvrWdLmLkBcCTCDYAj0ZYCsGC1FABsjJkbAAtmbgBgY4QbAEeiLQVgQVsKADZGuAFwJNpSABaBgYEKDGx+3tPSc3biH1UCgJcINwCORFsKwILVUgCwMWZuACyYuQGAjRFuAByJthSABW0pANgY4QbAkWhLAVjw8SsAsDHCDYAj0ZYCsGC1FABsjHAD4Ei0pQAsaEsBwMaYuQGwYOYGADZGuAFwJNpSABa0pQBgY4QbAEeiLQVgwV1BAMDGCDcAjkRbCsCC1VIAsDFmbgAa8ZfZWUuYuQFwJMINgCPRlgKwYEEBAGyMcAPgSLSlACz4+BUA2BjhBsCRaEsBWLBaCgA2xswNgAUzNw8988wzSkxMVFhYmJKSkvT66683OzYnJ8f9i/3m9t577/m6TAAO49Nw27hxo+699149/PDDKigo0JgxY5Samqri4uIWjzt8+LBKS0vd28UXX+zLMgE4kE/D7amnntIdd9yhO++8U0OGDNHSpUuVkJCgFStWtHhcdHS0YmNj3VtQUJAvywTwDU11T+du/sBn4VZdXa39+/crJSXFsj8lJUV79uxp8dgRI0YoLi5OEydO1K5du1ocW1VVpYqKCssGAD4Lt2PHjqmurk4xMTGW/TExMSorK2vymLi4OK1atUqbNm3S5s2bNWjQIE2cOFG5ubnNniczM1ORkZHuLSEhoV1/DgD+yeerpedOYY0xzU5rBw0apEGDBrkfJycnq6SkREuWLNHYsWObPCYjI0Pp6enuxxUVFQQccB5YLW1FVFSUgoKCGs3Sjh492mg215JRo0bpgw8+aPZ5l8uliIgIywYAPgu30NBQJSUlKTs727I/Oztb11xzjcevU1BQoLi4uPYuD4DD+bQtTU9P1/Tp0zVy5EglJydr1apVKi4uVlpamqSvW8ojR47o+eeflyQtXbpUAwYM0NChQ1VdXa21a9dq06ZN2rRpky/LBPANTrkriE/Dbdq0aTp+/Lh+9atfqbS0VMOGDdP27dvVv39/SVJpaanlmrfq6motXLhQR44cUXh4uIYOHapt27Zp0qRJviwTgAP5fEHh7rvv1t13393kc1lZWZbHDzzwgB544AFflwTgW4DPlgKwYLUUAGyMmRsAC2ZuAGBjhBsAR6ItBWBBWwoANka4AXAk2lIAFk75+JV/VAkAXiLcADgSbSkAC1ZLAcDGmLkBsGDmBgA2RrgBcCTaUgAWtKUAYGOEGwBHoi0FYEFbCgA2RrgBcCTaUgAWAQEBLd75g7YUADoRMzcAFiwoAICNEW4AHIm2FIAFbSkA2BjhBsCRaEsBWNCWAoCNEW4AHIm2FIAFX8oMADZGuAFwJNpSABaslgKAjRFuAByJcAPgSIQbAJ/Kzc3V5MmTFR8fr4CAAL3yyiseH/vmm28qODhYl19+udfnJdwAWDQsKLS0eaOyslLDhw/XsmXLvDquvLxcM2bM0MSJE706rgGrpQB8KjU1VampqV4fd9ddd+m2225TUFCQV7O9BszcALRJRUWFZauqqmq3116zZo3+9a9/6dFHH23zaxBuACw8bUsTEhIUGRnp3jIzM9vl/B988IEefPBBrVu3TsHBbW8uaUsBtElJSYkiIiLcj10u13m/Zl1dnW677TYtXrxYAwcOPK/XItwAtElERIQl3NrDqVOnlJ+fr4KCAs2bN0+SVF9fL2OMgoODtXPnTl133XUevRbhBsCiMz9+FRERoXfeecey75lnntFrr72ml19+WYmJiR6/FuEGwKdOnz6tDz/80P24qKhIhYWF6tmzp/r166eMjAwdOXJEzz//vAIDAzVs2DDL8dHR0QoLC2u0vzWEGwCL9p655efna8KECe7H6enpkqSZM2cqKytLpaWlKi4ubluxLSDcAPjU+PHjZYxp9vmsrKwWj1+0aJEWLVrk9Xm5FASAIzFzA2DB/dwAwMYINwCORFsKwIK2FD7X0goTgJY5eubm7+FgjPH7nwHoLI4NN2OM6uvrO7uM80K4oTM4pS11bLhJ8vtwa/jAMADvOTbcjDGqq6vr7DLOC+EGtJ2jw83fZ251dXV+/zMAncWx4SbJ72dudXV1fv8zAJ3FseHmhLa0pqaGthQdjgUFm2sIN38OB2ZuQNs5Ntwk/3/Pyt/rBzqTY8OtYUHBn8OB1VJ0BtpSP+Dv4eDPwQx0Nj5bCsCRHD1zA+A9p7SlzNwAOBLhBsCRaEsBNOIvrWdLmLkBcCRmbgAsWFAAABsj3AA4Em0pAAvaUgCwMcINgCP5PNyeeeYZJSYmKiwsTElJSXr99ddbHL97924lJSUpLCxMF154oVauXOnrEgF8Q0Nb2tLmD3wabhs3btS9996rhx9+WAUFBRozZoxSU1NVXFzc5PiioiJNmjRJY8aMUUFBgR566CEtWLBAmzZt8mWZcDB/+Q8R7c+nCwpPPfWU7rjjDt15552SpKVLl+pvf/ubVqxYoczMzEbjV65cqX79+mnp0qWSpCFDhig/P19LlizRlClTvD6/v/9hBwQEyOVyKTQ0tLNL8VvBwcF+/3eAtvFZuFVXV2v//v168MEHLftTUlK0Z8+eJo/Jy8tTSkqKZd8NN9yg1atXq6amRiEhIY2OqaqqUlVVlftxRUWFJPndFLopgYGBuuCCC9SjR4/OLsVvde3atbNLQCfxWbgdO3ZMdXV1iomJseyPiYlRWVlZk8eUlZU1Ob62tlbHjh1TXFxco2MyMzO1ePHiJl8vKCiojdXbgzFG3bt3b/LnhmciIyM7uwR0Ep9f53buzMkY49U1NA130m3umIyMDKWnp7sfV1RUKCEhQQEBAQoODvbrO/FKUu/evXXRRRd1dhl+q1evXp1dgt9xynVuPgu3qKgoBQUFNZqlHT16tNHsrEFsbGyT44ODg5v9I3W5XHK5XE0+FxQU5NfhFhgYqPj4eHerDe8x6/328lm4hYaGKikpSdnZ2frBD37g3p+dna3vf//7TR6TnJysv/zlL5Z9O3fu1MiRI5t8v60lAQEBfh9uxhglJCSourq6s0vxW/Hx8X4z00D78mlbmp6erunTp2vkyJFKTk7WqlWrVFxcrLS0NElft5RHjhzR888/L0lKS0vTsmXLlJ6erjlz5igvL0+rV6/Whg0bvD63U8ItJibG79877Ey0pd6jLfXAtGnTdPz4cf3qV79SaWmphg0bpu3bt6t///6SpNLSUss1b4mJidq+fbvuu+8+LV++XPHx8Xr66afbdBmI9HVb58/hJkk9e/bkUpDz0L17984uAZ0kwPj7f/3nqKioUGRkpE6ePOn3lwEYY1RZWamzZ892dil+Kzw83DErpg1/2+Xl5YqIiPDZ6+fm5uqCCy5odtzp06c1duxYn9XRXhx9V5DAQP//6KzL5fL6/Ub8Gy2992hLbc7fL+BtEBoa6vetdWdywt8A2sax4SY54w+bmQfQNo4ONwDec0pb6v9vSgFAEwg3AI5EWwrAgrYUAGyMmRsAC2ZuAGBjhBsAR6ItBWBBWwoANka4AXAk2lIAFrSlAGBjhBsARyLcADgS4QbAkVhQAGDBggIA2BjhBsCRaEsBWNCWAoCNEW4AHIm2FIAFbSkA2BjhBsCRaEsBWNCWAoCNMXMDYMHMDQBsjHAD4Ei0pQAsaEsBwMYINwCORLgBcCTCDYAjEW4AHInVUgCN+MuKaEuYuQFwJMINgCPRlgKw4CJeALAxwg2AIxFuAByJcAPgSCwoALBgQQEAbIxwA+BItKUALGhLAcDGCDcAjkRbCsCCthQAbIxwA+BIhBsARyLcADgSCwoALFhQAAAbI9wAOBJtKQAL2lIAsDHCDYAjEW4AHIlwA+BILCgAsGBBAQBsjHAD4Ei0pQAsaEsBwMYINwCORFsKwIK2FABsjHAD4EiEGwBHItwAOBLhBsCRCDcAFg2rpS1t3sjNzdXkyZMVHx+vgIAAvfLKKy2O37x5s66//nr17t1bERERSk5O1t/+9jevfw7CDYBPVVZWavjw4Vq2bJlH43Nzc3X99ddr+/bt2r9/vyZMmKDJkyeroKDAq/NynRsAi/a+zi01NVWpqakej1+6dKnl8WOPPaZXX31Vf/nLXzRixAiPX8enM7cTJ05o+vTpioyMVGRkpKZPn66TJ0+2eMysWbMaTYFHjRrlyzIBtEFFRYVlq6qq8sl56uvrderUKfXs2dOr43wabrfddpsKCwu1Y8cO7dixQ4WFhZo+fXqrx914440qLS11b9u3b/dlmQDaICEhwT1xiYyMVGZmpk/O8+STT6qyslJTp0716jiftaWHDh3Sjh07tHfvXl199dWSpGeffVbJyck6fPiwBg0a1OyxLpdLsbGxvioNQAs8bUtLSkoUERHh3u9yudq9lg0bNmjRokV69dVXFR0d7dWxPpu55eXlKTIy0h1skjRq1ChFRkZqz549LR6bk5Oj6OhoDRw4UHPmzNHRo0ebHVtVVdVoegzA9yIiIixbe4fbxo0bdccdd+jPf/6zvvvd73p9vM/CraysrMmkjY6OVllZWbPHpaamat26dXrttdf05JNPat++fbruuuua7eczMzMtU+OEhIR2+xkAdI4NGzZo1qxZWr9+vb73ve+16TW8DrdFixa1eg1Mfn6+pKZXVYwxLU55p02bpu9973saNmyYJk+erL/+9a96//33tW3btibHZ2RkqLy83L2VlJR4+yMB8KHTp0+rsLBQhYWFkqSioiIVFhaquLhY0tf/Dc+YMcM9fsOGDZoxY4aefPJJjRo1SmVlZSorK1N5eblX5/X6Pbd58+bp1ltvbXHMgAED9Pbbb+vzzz9v9NwXX3yhmJgYj88XFxen/v3764MPPmjyeZfL5ZNeH0D7yM/P14QJE9yP09PTJUkzZ85UVlaWSktL3UEnSf/zP/+j2tpazZ07V3PnznXvbxjvKa/DLSoqSlFRUa2OS05OVnl5ud566y1dddVVkqS///3vKi8v1zXXXOPx+Y4fP66SkhLFxcV5WyoAGxg/fryMMc0+f25g5eTktMt5ffae25AhQ3TjjTdqzpw52rt3r/bu3as5c+bopptusqyUDh48WFu2bJH09fR14cKFysvL08cff6ycnBxNnjxZUVFR+sEPfuCrUgF8Q3t//Kqz+PQ6t3Xr1unSSy9VSkqKUlJSdNlll+mFF16wjDl8+LC7lw4KCtI777yj73//+xo4cKBmzpypgQMHKi8vT926dfNlqQAcxqcfv+rZs6fWrl3b4phvTlfDw8Pb9AFZAO2H24wDgI0RbgAciXAD4EiEGwBHItwAOBI3qwRgwWopANgY4QbAkWhLAVjQlgKAjTFzA2DBzA0AbIxwA+BIhBsARyLcADgS4QbAkVgtBdCIv6yItoSZGwBHItwAOBJtKQALLuIFABsj3AA4EuEGwJEINwCOxIICAAsWFADAxgg3AI5EWwrAgrYUAGyMcAPgSIQbAEci3AA4EuEGwJFYLQVgwWopANgY4QbAkQg3AI5EuAFwJBYUAFiwoAAANka4AXAkwg2AIxFuAByJcAPgSKyWArBgtRQAbIxwA+BIhBsARyLcADgSCwoALFhQAAAbI9wAOBLhBsCRCDcAjkS4AXAkVksBWLBaCgA2RrgBcCTCDYAjEW4AHIkFBQAWLCgAgI0RbgAciXAD4EiEGwBHItwAOBKrpQAsWC0FABsj3AA4EuEGwJEINwCORLgBcCTCDYAjEW4AHInr3ABYcJ0bANgY4QbAkQg3AI5EuAFwJMINgCP5NNx+85vf6JprrlGXLl3UvXt3j44xxmjRokWKj49XeHi4xo8fr3/+85++LBPANzSslra0+QOfhlt1dbV+/OMf62c/+5nHxzzxxBN66qmntGzZMu3bt0+xsbG6/vrrderUKR9WCsBpfBpuixcv1n333adLL73Uo/HGGC1dulQPP/ywfvjDH2rYsGH605/+pK+++krr16/3ZakAHMZWF/EWFRWprKxMKSkp7n0ul0vjxo3Tnj17dNdddzU6pqqqSlVVVe7H5eXlkqSKigrfFwx0oIa/aWNMJ1fiH2wVbmVlZZKkmJgYy/6YmBh98sknTR6TmZmpxYsXN9qfkJDQ/gUCNnD8+HFFRkZ2dhm253W4LVq0qMkw+aZ9+/Zp5MiRbS7q3DcsjTHNvomZkZGh9PR09+OTJ0+qf//+Ki4u9qs/gIqKCiUkJKikpEQRERGdXY7HqLvjlJeXq1+/furZs6dPz+OUj195HW7z5s3Trbfe2uKYAQMGtKmY2NhYSV/P4OLi4tz7jx492mg218DlcsnlcjXaHxkZ6Td/tN8UERFB3R3IH+sODOQKLk94HW5RUVGKioryRS1KTExUbGyssrOzNWLECElfr7ju3r1bjz/+uE/OCcCZfPq/gOLiYhUWFqq4uFh1dXUqLCxUYWGhTp8+7R4zePBgbdmyRdLX0917771Xjz32mLZs2aJ3331Xs2bNUpcuXXTbbbf5slQADuPTBYVHHnlEf/rTn9yPG2Zju3bt0vjx4yVJhw8fdq9wStIDDzygM2fO6O6779aJEyd09dVXa+fOnerWrZtH53S5XHr00UebbFXtjLo7lj/W7Y81d6YAw7oyAH29yBIZGaljx461+D5kRUWFoqKiVF5ebuv3K211KQiAzueU1VKWXQA4EuEGwJEINwCO5JfhduLECU2fPl2RkZGKjIzU9OnTdfLkyRaPmTVrVqPbtowaNcoypqqqSvPnz1dUVJS6du2qm2++WZ9++mmn1FxTU6Nf/OIXuvTSS9W1a1fFx8drxowZ+uyzzyzjxo8f3+jnau0i65Y888wzSkxMVFhYmJKSkvT666+3OH737t1KSkpSWFiYLrzwQq1cubLRmE2bNumSSy6Ry+XSJZdc4r70pz15U/fmzZt1/fXXq3fv3oqIiFBycrL+9re/WcZkZWU1eaufs2fPdlrdOTk5Tdb03nvvWcZ1xO/bLxg/dOONN5phw4aZPXv2mD179phhw4aZm266qcVjZs6caW688UZTWlrq3o4fP24Zk5aWZvr06WOys7PNgQMHzIQJE8zw4cNNbW1th9d88uRJ893vftds3LjRvPfeeyYvL89cffXVJikpyTJu3LhxZs6cOZaf6+TJk22q8cUXXzQhISHm2WefNQcPHjT33HOP6dq1q/nkk0+aHP/RRx+ZLl26mHvuucccPHjQPPvssyYkJMS8/PLL7jF79uwxQUFB5rHHHjOHDh0yjz32mAkODjZ79+5tU43tUfc999xjHn/8cfPWW2+Z999/32RkZJiQkBBz4MAB95g1a9aYiIgIy++1tLS03WpuS927du0ykszhw4ctNX3z7/N8ft/l5eVGkvnyyy9NbW1ts9uXX35pJJny8vJ2+134gt+F28GDB40ky7+svLw8I8m89957zR43c+ZM8/3vf7/Z50+ePGlCQkLMiy++6N535MgRExgYaHbs2NEpNZ/rrbfeMpIsf/zjxo0z99xzz3nV1+Cqq64yaWlpln2DBw82Dz74YJPjH3jgATN48GDLvrvuusuMGjXK/Xjq1KnmxhtvtIy54YYbzK233touNRvjfd1NueSSS8zixYvdj9esWWMiIyPbq8QmeVt3Q7idOHGi2dc8n9+308LN79rSvLw8RUZG6uqrr3bvGzVqlCIjI7Vnz54Wj83JyVF0dLQGDhyoOXPm6OjRo+7n9u/fr5qaGsvtluLj4zVs2LBWX9eXNX9TeXm5AgICGt3VeN26dYqKitLQoUO1cOHCNt3Ys7q6Wvv377f8/JKUkpLSbI15eXmNxt9www3Kz89XTU1Ni2PO93d6PnWfq76+XqdOnWr0gfTTp0+rf//+6tu3r2666SYVFBS0S83nW/eIESMUFxeniRMnateuXZbnfP379id+d51bWVmZoqOjG+2Pjo523zKpKampqfrxj3+s/v37q6ioSP/5n/+p6667Tvv375fL5VJZWZlCQ0PVo0cPy3ExMTEtvq4va/6ms2fP6sEHH9Rtt91muXDy9ttvd38m991331VGRob+8Y9/KDs726sajx07prq6uiZvN9VcjWVlZU2Or62t1bFjxxQXF9fsmPP9nZ5P3ed68sknVVlZqalTp7r3DR48WFlZWbr00ktVUVGh//7v/9bo0aP1j3/8QxdffHGn1B0XF6dVq1YpKSlJVVVVeuGFFzRx4kTl5ORo7Nixkpr/d9Jev29/Yptw8/RWSlLTFxGaFm6LJEnTpk1z//OwYcM0cuRI9e/fX9u2bdMPf/jDZo9r6XV9XXODmpoa3Xrrraqvr9czzzxjeW7OnDnufx42bJguvvhijRw5UgcOHNAVV1zR6mufy5vbTTU3/tz93r5mW7T1HBs2bNCiRYv06quvWv4HNGrUKMuC0+jRo3XFFVfoD3/4g55++ulOqXvQoEEaNGiQ+3FycrJKSkq0ZMkSd7h5+5pOZptw8/RWSm+//bY+//zzRs998cUXzd4WqSlxcXHq37+/PvjgA0lf326purpaJ06csMzejh49qmuuuabTaq6pqdHUqVNVVFSk1157rdWPu1xxxRUKCQnRBx984FW4RUVFKSgoqNH/4Vu63VRsbGyT44ODg9WrV68Wx3jz76q9626wceNG3XHHHXrppZf03e9+t8WxgYGBuvLKK91/L+frfOr+plGjRmnt2rXux77+ffuVTnu3r40a3pz/+9//7t63d+9er9+cP3bsmHG5XOZPf/qTMebfCwobN250j/nss8/adUHB25qrq6vNLbfcYoYOHWqOHj3q0bneeecdI8ns3r3b6zqvuuoq87Of/cyyb8iQIS0uKAwZMsSyLy0trdGCQmpqqmXMjTfe2O4LCt7UbYwx69evN2FhYWbLli0enaO+vt6MHDnSzJ49+3xKtWhL3eeaMmWKmTBhgvvx+fy+GxYUTpw4Yerq6prdTpw44RcLCn4XbsZ8/S/rsssuM3l5eSYvL89ceumljS6rGDRokNm8ebMxxphTp06Zn//852bPnj2mqKjI7Nq1yyQnJ5s+ffqYiooK9zFpaWmmb9++5n//93/NgQMHzHXXXdeul4J4U3NNTY25+eabTd++fU1hYaFl6b+qqsoYY8yHH35oFi9ebPbt22eKiorMtm3bzODBg82IESPaVHPDpQmrV682Bw8eNPfee6/p2rWr+fjjj40xxjz44INm+vTp7vENl4Lcd9995uDBg2b16tWNLgV58803TVBQkPntb39rDh06ZH7729/67FIQT+tev369CQ4ONsuXL2/2EppFixaZHTt2mH/961+moKDAzJ492wQHB1v+B9XRdf/+9783W7ZsMe+//7559913zYMPPmgkmU2bNrnHnM/vm3CzgePHj5vbb7/ddOvWzXTr1s3cfvvtjZbHJZk1a9YYY4z56quvTEpKiundu7cJCQkx/fr1MzNnzjTFxcWWY86cOWPmzZtnevbsacLDw81NN93UaExH1VxUVGQkNbnt2rXLGGNMcXGxGTt2rOnZs6cJDQ013/nOd8yCBQsaXb/njeXLl5v+/fub0NBQc8UVV1hmgDNnzjTjxo2zjM/JyTEjRowwoaGhZsCAAWbFihWNXvOll14ygwYNMiEhIWbw4MGW/xjbizd1jxs3rsnf68yZM91j7r33XtOvXz8TGhpqevfubVJSUsyePXs6te7HH3/cfOc73zFhYWGmR48e5tprrzXbtm1r9Jpt/X07Ldy45REASf++5dGJEydaveVRjx49bH/LI7+7zg0APGGb1VIA9sD93ADAxgg3AI5EuAFwJMINgCMRbgAcidVSABaslgKAjRFuAHwqNzdXkydPVnx8vAICAvTKK6+0eown383RGsINgE9VVlZq+PDhWrZsmUfji4qKNGnSJI0ZM0YFBQV66KGHtGDBAm3atMmr8/KeGwCfSk1NVWpqqsfjV65cqX79+mnp0qWSpCFDhig/P19LlizRlClTPH4dwg2ARUVFhUfPnzvO5XLJ5XKd9/mb+x6I1atXq6amRiEhIR69DuEGQJIUGhqq2NhYJSQktDr2ggsuaDTu0Ucf1aJFi867Dk++m8MThBsASVJYWJiKiopUXV3d6ljTxPcytMesrYEn383RGsINgFtYWJjCwsI6tQZPvpvDE6yWArCV5OTkRl9NuXPnTo0cOdLj99skwg2Aj50+fVqFhYUqLCyU9PWlHoWFhSouLpYkZWRkaMaMGe7xaWlp+uSTT5Senq5Dhw7pueee0+rVq7Vw4ULvTty5dzkH4HS7du1q8Tsr2vrdHK3hOxQAOBJtKQBHItwAOBLhBsCRCDcAjkS4AXAkwg2AIxFuAByJcAPgSIQbAEci3AA4EuEGwJH+H/PlvM0EJYqBAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialize the lattice and the PhC\n", "lattice = legume.Lattice([1, 0], [0, ymax])\n", "phc = legume.PhotCryst(lattice)\n", "\n", "# First layer\n", "phc.add_layer(d=D, eps_b=epss)\n", "rect_add = legume.Poly(eps=epsa, x_edges=np.array([-0.5, -0.5, -W / 2, -W / 2]),\n", " y_edges=np.array([0.5, -0.5, -0.5, 0.5]) * ymax)\n", "rect_air = legume.Poly(eps=1, x_edges=np.array([W / 2, W / 2, 0.5, 0.5]),\n", " y_edges=np.array([0.5, -0.5, -0.5, 0.5]) * ymax)\n", "phc.add_shape([rect_add, rect_air])\n", "\n", "# Second layer\n", "phc.add_layer(d=H-2*D, eps_b=epss)\n", "rect_air1 = legume.Poly(eps=1, x_edges=np.array([-0.5, -0.5, -W / 2, -W / 2]),\n", " y_edges=np.array([0.5, -0.5, -0.5, 0.5]) * ymax)\n", "rect_air2 = legume.Poly(eps=1, x_edges=np.array([W / 2, W / 2, 0.5, 0.5]),\n", " y_edges=np.array([0.5, -0.5, -0.5, 0.5]) * ymax)\n", "phc.add_shape([rect_air1, rect_air2])\n", "\n", "# Third layer\n", "phc.add_layer(d=D, eps_b=epss)\n", "rect_air = legume.Poly(eps=1, x_edges=np.array([-0.5, -0.5, -W / 2, -W / 2]),\n", " y_edges=np.array([0.5, -0.5, -0.5, 0.5]) * ymax)\n", "rect_add = legume.Poly(eps=epsa, x_edges=np.array([W / 2, W / 2, 0.5, 0.5]),\n", " y_edges=np.array([0.5, -0.5, -0.5, 0.5]) * ymax)\n", "phc.add_shape([rect_add, rect_air])\n", "\n", "# Visualize what we built\n", "legume.viz.structure(phc, xz=True, xy=False, figsize=3)\n", "legume.viz.structure(phc, figsize=6., cbar=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute quasi-guided bands\n", "\n", "We first compute the bnads in the entire Brillouin zone. In this grating, the symmetry w.r.t. the kz plane is always satisfied, and the TE/TM classification is valid. However, the definition is ambiguous. In our notation, relevant for 2D PhC-s, the classification is w.r.t. the xy-plane. In Zhou et al., the classification is w.r.t. the kz plane. Thus, what they call TE, we call TM. To put it more explicitly, we will simulate modes where $H_y$ is the only nonzero magnetic field component." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: gmax=4 exactly equal to one of the g-vectors modulus, reciprocal lattice truncated with gmax=4.0000000001 to avoid problems.\n", "Plane waves used in the expansion = 9.\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make a BZ path along the G-X direction\n", "path = phc.lattice.bz_path(['G', np.array([np.pi, 0])], [30])\n", "\n", "neig = 7 # number of Bloch bands to store\n", "gmax = 4 # truncation of reciprocal lattice vectors\n", "\n", "# Initialize GME\n", "gme = legume.GuidedModeExp(phc, gmax=gmax)\n", "\n", "# Set some of the running options\n", "options = {'gmode_inds': [1, 3, 5, 7], # Take only the modes with H in the xy-plane\n", " 'numeig': neig, \n", " 'verbose': False\n", " }\n", "\n", "# Run the simulation\n", "gme.run(kpoints=path['kpoints'], **options)\n", "\n", "# Visualize the bands\n", "ax = legume.viz.bands(gme, Q=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Asymmetric coupling\n", "\n", "Next, as they do in the paper, we focus on a region close to $\\Gamma$, and on the first quasi-guided band inside the lighg-cone (the one starting at frequency ~ 0.84 and going down). The frequency of this band is shown in Fig. S4 in the Supplementary of the paper, while the quality factor is shown in Fig. 3(b)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: gmax=6 exactly equal to one of the g-vectors modulus, reciprocal lattice truncated with gmax=6.0000000001 to avoid problems.\n", "Plane waves used in the expansion = 13.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqgAAAEqCAYAAADZKKISAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8pXeV/AAAACXBIWXMAAA9hAAAPYQGoP6dpAABXlklEQVR4nO3deVxU9foH8M/MwLDvOwgIoiziBiiCklqGmrlkKZbhXpl21Wz55bXt2qKZt7IMTMWtTM2tuqYlljuuCG64gSCLLLI4bMLAzPn9gU4RmIDAGYbP+/WaV3nme2ae75nh4eEsz5EIgiCAiIiIiEhLSMUOgIiIiIjor1igEhEREZFWYYFKRERERFqFBSoRERERaRUWqERERESkVVigEhEREZFWYYFKRERERFpFT+wAmotarcbNmzdhZmYGiUQidjhEpIMEQUBJSQmcnZ0hlere3/fMo0TU0hqaR3WmQL158yZcXV3FDoOI2oGMjAx06NBB7DCaHfMoEbWWB+VRnSlQzczMANRM2NzcXORoiEgXFRcXw9XVVZNvdA3zKBG1tIbmUZ0pUO8djjI3N2diJaIWpauHv5lHiai1PCiP6t5JVERERETUprFAJSIiIiKtwgKViIiIiLQKC1QiIiIi0iosUImIiIhIq7BAJSIiIiKtojNtphrrTHoRzmcqYCSXwUSuBytjfbhaG8PZ0ggyqW62kCEioua14VgarIzlGNLVEXI97vMhai7ttkA9cDkPX/6RXGe5vkwCH0dz9HKzRKC7FQZ0sYOlsVyECImISJuVVVbj01+voKSyGnZmBniujxsmBLvB3txQ7NCI2rx2W6B6OZhheDcnlCurUaZUIb+0EpmFd6BUqXE+S4HzWQpsOHYDMqkEge5WGN7NCSN7OMPKhMUqEREBKkHA1P4e+P5kOm6VVGLZ79fw9f5kPNHNCZNCOyLAzVJnb+pA1NIkgiAIYgfRHIqLi2FhYQGFQtHkO6Co1AJu3r6DxIzbOJNehLjkAlzJLdE8ry+T4DEfB0wMdUeIpw0TD1E70xx5Rpvp+vxairJajd8u5mB9XBpO3yjSLO/mYoHJoR3xZA8nGOjJRIyQSHs0NM+wQH2AjMJy7E3Kxc6ETFzIKtYs93E0wwthnhjV0xl6Mp53RNQe6HoBp+vzaw0XshRYH5eGn87ehLJaDQCwNZXXHP7v6w4HHv6ndo4Fagu4lF2M70+kY1t8Ju5UqQAA7jbGeGWQF57q5cJClUjH6XoBp+vza02FZUpsOpmOb4/dQE5xBQBATyrB8O5OmNLPAz1dLcUNkEgkLFBb0O1yJTaeSEfMkVQUlikBAJ3sTPB/Q33wuJ8DD/0T6ShdL+B0fX5iqFLVHP5fd7T24f9ebpaY0s8Dw/wdoc+dG9SOsEBtBWWV1fju+A2sOJiCovIqAECfjtZ4d4Qf/F0sWiUGImo9ul7A6fr8xHY+U4G1canYdTYbSlXN4X8HcwNE9nXHs33cYGNqIHKERC2PBWprvndFFb45mIKYI6moqFJDKgGe7eOG18O9edU/kQ7R9QJO1+enLW6VVOL7E+n47sQN3CqpBADI9aQY1cMZk/t1RFdn7uAg3cUCVQQ3b9/Bx7svYde5bACAtYkcbw/3xVO9XHjYn0gHaEOeaUm6Pj9to6xWY/f5bKw9moqzmQrN8j4drTG5X0eE+znw2gbSOSxQRXT8egHe/ekCruaWAgD6edlg0VPd4WZjLGpcRPRwtCnPtARdn5+2EgQBCRm3sfZoGvacz0a1uubXsrOFISb0dcf43q48/E86gwWqyJTVaqw6fB1f/n4NldVqGOnL8OZQb0wK6Qgpb6VK1CZpW55pbro+v7YgR1GBjSdu4PsT6Si4exGuXE+KEd2dMSnUHd07WIobINFDamieadKxg6ioKHh4eMDQ0BCBgYE4fPjwP47fuHEjevToAWNjYzg5OWHKlCkoKCiod+zmzZshkUgwevTopoSmNeR6Uswa5IW9rz6Cvp7WuFOlwn/+l4TxK48jvaBc7PCISGTMo1QfRwtDvBbujaNvPYr/ju2B7h0soKxWY/uZTIxcfhSjvz6KHWcyUXG31SGRrmp0gbplyxbMnTsXCxYsQEJCAsLCwjBs2DCkp6fXO/7IkSOYOHEipk2bhosXL2Lr1q04deoUpk+fXmfsjRs38PrrryMsLKzxM9FS7jYm+H56X3w42h8mchlOphVi6LJD+P5EOnRk5zURNRLzKD2Iob4MTwd2wE+z+mHnzFA81csF+jIJEjNuY94PZxG6+A8s3nMZGYXc4UG6qdGH+IODgxEQEIDo6GjNMl9fX4wePRqLFi2qM37p0qWIjo5GSkqKZtlXX32FJUuWICMjQ7NMpVJhwIABmDJlCg4fPozbt2/jxx9/bHBcbeHQVEZhOV7behYnUwsBAIN97fHJ0915bhFRG9FceYZ5lJoiv7QSW05lYOPxG7ipqGn+L5EAA7vY4fm+7hjobQ8ZTyEjLdcih/iVSiXi4+MRHh5ea3l4eDji4uLqXSc0NBSZmZnYvXs3BEFAbm4utm3bhuHDh9cat3DhQtjZ2WHatGkNiqWyshLFxcW1HtrO1doYm1/oi7eH+0Iuk2LfpTwM+eIw9l/JEzs0ImolzKPUVLamBpg1yAuH3hyEbyID0d/LFoIA7L9yC9PWn8YjS/Zj+R/XkHv3zlVEbVmjCtT8/HyoVCo4ODjUWu7g4ICcnJx61wkNDcXGjRsREREBuVwOR0dHWFpa4quvvtKMOXr0KGJiYrBq1aoGx7Jo0SJYWFhoHq6uro2ZimikUgmmh3nip1f6oYuDKfJLKzFl7Sl8sCsJldU8p4hI1zGP0sPSk0kxpKsjvpsejP2vD8SLj3jCylgfWbfvYOneqwhd/Ade3HAa+6/kQaXmqWTUNjXpIqm/9/QUBOG+fT6TkpIwe/ZsvPvuu4iPj8evv/6K1NRUzJgxAwBQUlKC559/HqtWrYKtrW2DY5g/fz4UCoXm8dfDXG2Br5M5fn6lPyaFuAMAYo6k4unoOKTml4kcGRG1BuZRag4etib49xO+ODb/MXwe0QO9O1pBpRawNykXU9aewiNL9uOLfVeRdfuO2KESNUqjzkFVKpUwNjbG1q1b8dRTT2mWz5kzB4mJiTh48GCddSIjI1FRUYGtW7dqlh05cgRhYWG4efMmcnNz0atXL8hkMs3zanXNLeCkUimuXLmCTp06PTC2tnzuVGxSLt7Ydha3y6tgaqCHj8d0w8gezmKHRUR/0xx5hnmUWtq13BJsPpWB7WcycfvubbglEqC/ly3GBbnicT8HGOrLHvAqRC2jRc5BlcvlCAwMRGxsbK3lsbGxCA0NrXed8vJySKW13+ZeEhUEAT4+Pjh//jwSExM1j5EjR2LQoEFITExsF4ecHvdzwJ45YejT0RqlldWYvSkB/955nm1EiHQQ8yi1tM4OZnjnST8cn/8Ylo3vidBONhAE4PC1fPxrUwKCP/4d7/10Aecyb7ObDGktvcauMG/ePERGRiIoKAghISFYuXIl0tPTNYea5s+fj6ysLGzYsAEAMGLECLzwwguIjo7GkCFDkJ2djblz56JPnz5wdq7ZS+jv71/rPSwtLetdrsucLIzw/QvB+GLfNXx9IBnfn0jH2YzbiJoQAHcbE7HDI6JmxDxKrcFQX4ZRPV0wqqcL0gvKsS0+A1vjM5GtqMD6Yzew/tgNdLY3xdOBHfBULxc4mBuKHTKRRqML1IiICBQUFGDhwoXIzs6Gv78/du/eDXf3mnMps7Oza/Xymzx5MkpKSrB8+XK89tprsLS0xKOPPopPPvmk+WahI/RkUrw+xBt9PKwxd0siLt4sxpNfHsHScT0wpKuj2OERUTNhHqXW5mZjjHnh3pgzuAsOX7uF7WeysPdiDq7llWLxnstY8utl9POyxVO9XBDe1RGmBo0uD4iaFW91qqWyFXfwyvcJiL9RBACYMaATXg/vAj1Zk65rI6JmoGt55u90fX5UW3FFFXafy8b2M5k4lVakWW6oL8Xjfo4Y3dMZj3Sxgz5/71AzamieYYGqxapUaizecxkxR1IBACGeNvjquV6wZWN/IlHoYp75K12fH93fjYIy/JhwEz8lZuH6X7rJWBnrY1g3JzzZ3QnBHja8EQA9NBaoOuSXc9l4c9tZlClVcLIwRNSEAPRysxI7LKJ2R5fzDKD786MHEwQB5zIV+DExC/87m4380krNc7amBniimyOe7O6MIHcrSFmsUhOwQNUxyXklePHbeFy/VQa5TIr/jOqKZ/u4iR0WUbui63lG1+dHjVOtUuPY9QLsOpuNXy/mQHGnSvOco7khhvo7Yqi/I3p3tOaeVWowFqg6qKSiCq9vPYvfLuYCAJ7t44b3R/rBQI/97Ihag67nGV2fHzWdslqNoyn52HU2G3sv5qCkslrznI2JHOFdHTCkqyNCO9lCrsdzVun+WKDqKEEQEHUgBUv3XoEgAL3cLLHi+UC2ByFqBbqeZ3R9ftQ8KqtVOHw1H79ezEFsUm6tPatmhnp41Mceg30dMMDbDuaG+iJGStqIBaqOO3AlD7M3JaC4ohr2ZgZYERmIAJ6XStSidD3P6Pr8qPlVqdQ4cb0Qv17Mxm8Xc3Gr5M9zVvWkEvTxsMZgXwcM9nWAm42xiJGStmCB2g7cKCjDixvicSW3BHKZFB+M7oqI3jwvlail6Hqe0fX5UctSqwWcSS9C7KVc/H4pD8l5pbWe7+JgikE+9hjYxR6B7lY8FaCdYoHaTpRVVuO1H87i14s5AIBJIe54+0k/9q0jagG6nmd0fX7UutLyy7DvUi72XcrFqbQiqNR/lhumBnoI7WSDAd52GOhtDxdLIxEjpdbEArUdEQQBy/9Ixn9jrwIA+npaI2pCIKxN5CJHRqRbdD3P6Pr8SDyK8iocuJqHg1du4eDVWygoU9Z63sveFAO62KG/ly36eFjDhHey0lksUNuhvRdz8OqWRJQpVehgZYTVk4Lg49g+twVRS9D1PKPr8yPtoFYLuHizGAeu5OHg1Vs4k16Ev+xchZ5Ugl5ulujnZYt+Xrbo6WrJo4I6hAVqO3U1twTT159GemE5jOUyfB7RE0O6OoodFpFO0PU8o+vzI+2kKK/C4eRbOHItH0eS85FZdKfW8yZyGfp4WKOfly2CPWzg62TG2363YSxQ27GiMiVmfX8GcSkFAIA3hnhj5sBOkEjYSJnoYeh6ntH1+VHbkF5QjiPJ+Tiako+45HwUlVfVet7UQA+B7lYI9rRGsIc1urlY8oKrNoQFajtXpVLjg11J2HDsBgBgZA9nLHmmOwz12dSfqKl0Pc/o+vyo7VGrBVzKKcbR5Hwcv16IU2mFKKmorjXGUF+KXq5W6ONhjT4e1ujhaglTnsOqtVigEgDgu+M38P7PF1GtFtCjgwVWTQyCPZv6EzWJrucZXZ8ftX0qtYDLOcU4mVqIE9cLcTKtEIV/u+BKKgG6OJghwN0KAW5WCHCzhIetCY8iagkWqKQRl5KPmRvP4HZ5FRzNDbF6UhD8XSzEDouozdH1PKPr8yPdIwgCUm6V4kRqIU6mFiL+RlGdc1gBwNpEjl6ulghwt0IvN0t0c7GAGe9yJQoWqFRLWn4Zpq0/hZRbZTDUl+LzcT0xrJuT2GERtSm6nmd0fX7UPuQVV+BMehHOpN9G/I0inM9SQFmtrjVGIgE8bU3QvUNNsdq9gwX8nM1hLOepAS2NBSrVUVxRhVe+T8Chq7cAAK+Hd8GsQV487EHUQLqeZ3R9ftQ+VVarkHSzGGfSb+PMjSIkpBfhpqKizrh7pwbcK1i7dbCEj6MZr91oZixQqV7VKjU+/OUS1sWlAQCe6uWCxU93g4EefwCJHkTX84yuz4/onvzSSpzPUuB8pgLnMm/jbKYCt0oq64yTSSXoZGcCPydz+N59+Dmbw9bUQISodQMLVPpH3969eEqlFhDoboVvIgP5A0f0ALqeZ3R9fkT/JLe4AucyFTifeRvnshQ4l6mocwHWPXZmBpqi1c/ZHH5OZvCwNYVMyiOSD8IClR7oyLV8vLwxHiUV1ehgZYQ1k3uji4OZ2GERaS1dzzO6Pj+ixhAEAbnFlUjKVuBSdgmSbhbjUnYxUgvKUF/lZKAnRWcHU3SxN0NnBzN0cTBFFwczuFgaQcrCVYMFKjVIcl4ppq0/hRsF5TAz0MPyCQEY0MVO7LCItJKu5xldnx9RcyhXVuNyTgkuZRdritbLOSUoV6rqHW8sl8HLvqZY7eJgerd4NYOzhWG7vAaEBSo1WFGZEi99F4+TqYWQSSV4f4QfIkM6ih0WkdbR9Tyj6/MjailqtYAbheW4mluCa7kluJJbimu5Jbh+qwxKlbredUwN9OBlbwove1N0sjNFJzsTdLI3hZu1MfR1+FauLFCpUSqrVfj3jgvYfiYTADClX0e8PdyP59MQ/YWu5xldnx9Ra6tWqZFWUH63aC3BtdxSXM0tQWp+GarV9ZdfelIJ3G2Ma4rWvxSvnnamsDBq+71bWaBSowmCgKgDKfj0tysAgEd97PHls714yziiu3Q9z+j6/Ii0hbJajbSCMly9u5c15VZpzSOvDHeq6j9VAKi5OKuTnQk62ZnC084UnnYm6GRrChcrozazQ4kFKjXZ7vPZeHVLIiqr1fB1MseayUFwsjASOywi0el6ntH1+RFpO7VaQE5xxd1itRQpfylec4vrtsG6R64nRUcbY3jamsLDzgSetjV7XDvZmcDSWN6KM3gwFqj0UBIzbmP6+tPIL62EvZkBYib1RrcOvD0qtW+6nmd0fX5EbVlJRVWtva3Xb5Xh+q0ypBaU1blT1l9Zm8jvFqw1RWtne3G7C7BApYeWWVSOqetO4WpuKYz0ZVg2vifCuzqKHRaRaHQ9z+j6/Ih0kUot4ObtO38Wrfl/Fq85xXXvmHWPiVyGzg5m8HYwQxfHe/81hZ2pQYt2F2CBSs2iuKIKszaeweFr+ZBIgLeH+2Fqv47tsjUGka7nGV2fH1F7U1ZZjdT8Mk3xmnKrFMl5NXtgq1T1l39Wxvro4mAGb0czzX+7d7BotjtONjTPNKmPQVRUFDw8PGBoaIjAwEAcPnz4H8dv3LgRPXr0gLGxMZycnDBlyhQUFBRonl+1ahXCwsJgZWUFKysrDB48GCdPnmxKaNTMzA31sWZybzwX7AZBAD7YlYR3f7qI6vu0zSCihmEeJaKWZmKgB38XC4zq6YJXH++C5c8F4Ne5jyBp4VDEvvoIlj/XC7Mf64yhXR3haWsCqQQoKq/CidRCbDh2A2//eAFjVxxDr4WxmPFtPLaezkBB6f3PhW1Ojd6DumXLFkRGRiIqKgr9+vXDN998g9WrVyMpKQlubm51xh85cgQDBgzA559/jhEjRiArKwszZsxA586dsXPnTgDAhAkT0K9fP4SGhsLQ0BBLlizBjh07cPHiRbi4uDQoLv7l37IEQcDqw6n4eM8lCAIwyNsOXz0XwCv8qV1prjzDPEpE2qiiSoXkvJpWWFdyS3A1pwTns4qR/5eiVCIBerla4jFfBwz2dUAXB9NGHVVtsUP8wcHBCAgIQHR0tGaZr68vRo8ejUWLFtUZv3TpUkRHRyMlJUWz7KuvvsKSJUuQkZFR73uoVCpYWVlh+fLlmDhxYr1jKisrUVn55wYrLi6Gq6srE2sL+/VCDuZuSUBFFa/wp/anuQo45lEiaisEQcCFrGLsu5SLfZdycfFmca3nh/k7Ivr5wAa/Xosc4lcqlYiPj0d4eHit5eHh4YiLi6t3ndDQUGRmZmL37t0197XNzcW2bdswfPjw+75PeXk5qqqqYG1tfd8xixYtgoWFhebh6uramKlQEw31d8SWF0Nga2qAS9nFGP31UVy8qRA7LKI2g3mUiNoSiUSCbh0s8OrjXfDL7DAcm/8o3h/x5418/ulCrIfRqAI1Pz8fKpUKDg4OtZY7ODggJyen3nVCQ0OxceNGREREQC6Xw9HREZaWlvjqq6/u+z5vvfUWXFxcMHjw4PuOmT9/PhQKheZxv70I1Px6uFpi58xQdLY3RW5xJcauOIb9l/PEDouoTWAeJaK2qLJahTPpRfjlXDZ+u5gLlVqAmYEelo7t0SLv16QTCP9+roEgCPc9/yApKQmzZ8/Gu+++iyFDhiA7OxtvvPEGZsyYgZiYmDrjlyxZgk2bNuHAgQMwNDS8bwwGBgYwMDBoSvjUDFytjbHt5VDM3BiPo8kFmLb+FP4zyh+Rfd3FDo2oTWAeJSJtlltcgTM3inAmvQjxN4pwIasYyr9cIC2RAP8d1wOd7Exb5P0bVaDa2tpCJpPV+Ss/Ly+vzt6AexYtWoR+/frhjTfeAAB0794dJiYmCAsLw4cffggnJyfN2KVLl+Ljjz/Gvn370L1798bOhVqZhZE+1k7ugwU7z2NrfCbe+fEC0gvKMH+YryjNf4naAuZRItIm1So1MoruIDmvpgVVUnYxztwoQtbtO3XGWpvIEeBmiQB3KwzsYg8/55Y7V71RBapcLkdgYCBiY2Px1FNPaZbHxsZi1KhR9a5TXl4OPb3abyOT1fTS+uv1WZ9++ik+/PBD/PbbbwgKCmpMWCQiuZ4US57pDncbYyzdexWrDqcis+gOPo/oCUP95umZRqRLmEeJSAwVVSpcv1WG5Hu9UO8WpKn5ZbX2jN4jlQDejuYIcLNEoLsVAtys4G5j3Gp90Bt9iH/evHmIjIxEUFAQQkJCsHLlSqSnp2PGjBkAas5pysrKwoYNGwAAI0aMwAsvvIDo6GjNoam5c+eiT58+cHZ2BlBzOOqdd97B999/j44dO2r2LJiamsLUtGV2HVPzkUgkeOXRznC1NsYbW89hz4Uc5BQfx6qJQbA15eFDor9jHiWillJYpsT1u4357xWjyXmlyCgqx/36NhnqS+Fpawove1N0cTBFLzcr9HC1FLWVZKPfOSIiAgUFBVi4cCGys7Ph7++P3bt3w9295tzD7OxspKena8ZPnjwZJSUlWL58OV577TVYWlri0UcfxSeffKIZExUVBaVSiWeeeabWe7333nt4//33mzg1am2jerrA0dwQL34bj4T02xgTFYe1U3q32PkpRG0V8ygRPQxltRrphWVIuXtL0+u3SnE9v+a/ReVV913PwkgfXvam8LKrKUbvPVwsjbTu1Dze6pSaXXJeKaasO4mMwjuwMNLHqolB6ONx/1Y3RG2FrucZXZ8fUVsiCAIKypRIyfuz+Lx+qwzX88uQXlgOlfr+5ZuzhSE87xahnf5SkNqaykW/VXlD8wxvA0TNzsveFDtn9sP09aeRmHEbz68+gaXjemBkD2exQyMiItIqgiDgpqIC13JLas4NvVWKa7mlSL5Vitv/sDfUWC6Dp50JPG1N0cnOtOb/7UzgYWsCY3nbL+/a/gxIK9maGmDTC33x6pZE/HoxB7M3JSCzqBwvD+gk+l9vREREra1apUZ6YTmu5f15kdK1uwVpuVJV7zoSCeBiaQRPO1N0sjOp+a9tzX8dzA10+vcpC1RqMUZyGb6eEICPd19CzJFULPn1CjIK7+CDUV2hJ2vUPSKIiIjaBEEQkK2owJWcElzKKcaVnBJcySnB9Vv1Xy0PAHpSCTxsTWqdF+plbwpPW1MYydtnRxwWqNSiZFIJ3nnSDx2sjLBwVxI2nUxHtuIOlj8XIOrVgURERA+rpKIKV3JKcPluEXr5bkFaXFFd73hDfenfLlIyg5e9KdxtjKHPHTe1sEKgVjGlnwecLY0wZ3MCDly5hYhvjmHN5N5wML//XW6IiIi0wb3zRC9kKXAxS4GLN4txOaek3mb2QM0eUU87E3g7msPH0Qw+jmbo4mCmlVfLaysWqNRqhnR1xOYXQzBt3SlcvFmMp74+inVT+6CLg5nYoREREQGoKUbTC8txIasYF24qcCGr5nG/9k1OFobwdjSD991C1MfRHJ52JjDQa5+H5psLC1RqVT1dLbFzZj9MXnsS1/PL8HR0HL55PhChXrZih0ZERO3MvWI0MeM2zmcqcOFmzd7RknoO0etJJejsYAZ/Z3P4u1hoilELY30RItd9LFCp1bnZGGP7y6F48dvTOJVWhElrT2LJM93xVK8OYodGREQ6THGnCucybyMh/TYSM2oehWXKOuPkelL4Opqhq4sF/J0t4O9iji4OZryFdytigUqisDKR49tpwXht61n8ci4br245i6yiO5g1yEun22YQEVHrUKkFXM4p1hSjCelFSLlVVmecvkwCP2cL9OhgAf+7BWlnB1NetCQyFqgkGkN9Gb4a3wsdLI3wzaHrWLr3KjKL7uCD0f5MDERE1CgVVSqczbiNU2mFOJlWhDM3ilBaWfdQvZu1MXq6WqKnqyV6uVnCz9mc54tqIRaoJCqpVIL5T/jCxcoI7/98EZtPZSBbUYGvJ7ANFRER3Z/iThXO3CjCybRCnEotxLlMRZ0+o6YGeujlZqkpSHu6WsLG1ECkiKkxWAGQVpgY0hGO5oaYvTkBB6/WtKFaO7k37NmGioiIAJRVVuNUWiHiUgpwNDkfSdnFEP52O3o7MwP06WiNoI5W6N3RGr5O5pCxrVObxAKVtEb439tQRcVh3ZTe6Mw2VERE7Y6yWo3EjNs4mpyPuJR8JGbcRpWqdkXa0cYYvTtao7eHNfp0tIa7jTGvY9ARLFBJq/R0tcSOmaGYvPYUUu+2oVo5MQh9PW3EDo2IiFpYWn4Z9l/Jw4Ert3AytRB3qmrfo97F0gj9vGwQ2skWIZ1seLMXHcYClbSOu40JdrwciukbTiP+RhEmxpzE0nE9MLKHs9ihERFRM1JWq3EqrRB/XM7D/st5uJ5f+yp7GxM5QjrZoJ+XLUI72cDNmntI2wsWqKSVrEzk2Dg9GK9uScSeCzmYvSkBN2/fwUuPeDI5ERG1YYo7VYhNysW+pFwcSc6vdaW9nlSC3h2tMcjHDmGd7eDtYMZbg7ZTLFBJaxnqy7D8uQB89MslrDmaisV7LiOr6A7eH9mVJ70TEbUhd5Qq7LuUi5/P3sTBK7dqXW1vayrHQG97POpjj/6dbWFuyDszEQtU0nIyqQTvjvCDs6UhPtp9Cd8ev4Gc4gp8Ob4XjOTsW0dEpK2qVGocunoLP5+9idikXJQr/zyftIuDKYb6O+ExH3t0c7HgXlKqgwUqtQnTwzzhZGGEV39IRGxSLp5ddRwxk4LYz46ISMtcvKnAtvhM/JR4s9ZtRDtYGWFkD2eM7OkMH0dzESOktoAFKrUZw7s7wd7cANPXn0Zixm08HR2H9VP7wN3GROzQiIjatfzSSvyYkIVt8Zm4nFOiWW5raoAnuzthZE9n9HK15DUE1GAsUKlN6d3RGttfDsWkNSeRVlCOMVFxiJncGz1dLcUOjYioXVGpBRy6dgubTqTjj8t5qFbX9CiVy6R43M8BzwR2QFhnW+jx1tXUBCxQqc3xsjfFzlmhmLruFC5kFWP8ymNY/mwABvs5iB0aEZHOyy2uwA+nMrD5VAaybt/RLO/paomnAztgRHcnWBrLRYyQdAELVGqT7M0MseXFEMzceAYHr97Ci9+exgej/TEh2F3s0IiIdI4gCDiSnI8Nx27gj8t5UN3dW2phpI+nAzrg2T6uvOsfNSsWqNRmmRjoYfWkICzYeR4/nM7Egp0XcPP2Hbwe7s3znIiImkFpZTV2nMnEurg0XL/1ZxP9Ph2t8WywK4b5O8FQnx1VqPmxQKU2TV8mxSdPd4ezpRG+2HcNX+9PQbaiAovHdIdcj+c9ERE1RVp+GdbFpWFbfKamkb6pgR6eCeyACcFu3FtKLY4FKrV5EokEcwd3gZOFIf698wJ2nMlCXnElop8PgBkbPhMRNVj8jUKsPHQde5NyIdQcxYennQkmhXTEmAAX5lRqNSxQSWdE9HaDvZkhZm48gyPJ+Rj3zXGsm9IbDuaGYodGRKS1VGoBey/mYOXh60hIv61Z/qiPPSaHdkR/L1s20qdW16RjoFFRUfDw8IChoSECAwNx+PDhfxy/ceNG9OjRA8bGxnBycsKUKVNQUFBQa8z27dvh5+cHAwMD+Pn5YefOnU0Jjdq5QT722PJSX9iaynEpuxhjouKQnFfy4BWJWhnzKIlNWa3GD6cyMPizg3h54xkkpN+GXCbF+N6u2DfvEayZ3BuPdLFjcUqiaHSBumXLFsydOxcLFixAQkICwsLCMGzYMKSnp9c7/siRI5g4cSKmTZuGixcvYuvWrTh16hSmT5+uGXPs2DFEREQgMjISZ8+eRWRkJMaNG4cTJ040fWbUbnXvYIkdL/eDp60Jsm7fwdPRx3AqrVDssIg0mEdJTBVVKqw7moqBn+7Hm9vPITW/DBZG+vjXo1448tYgLH66O7zseY4piUsiCPfOMmmY4OBgBAQEIDo6WrPM19cXo0ePxqJFi+qMX7p0KaKjo5GSkqJZ9tVXX2HJkiXIyMgAAERERKC4uBh79uzRjBk6dCisrKywadOmBsVVXFwMCwsLKBQKmJvzFmoEFJYpMX39KZxJvw25nhRfRPTEE92cxA6L2rDmyjPMoySGO0oVvj2ehpWHriO/tOYWpHZmBngxzBPPBbvBxIBn/VHLa2ieadQeVKVSifj4eISHh9daHh4ejri4uHrXCQ0NRWZmJnbv3g1BEJCbm4tt27Zh+PDhmjHHjh2r85pDhgy572sCQGVlJYqLi2s9iP7K2kSOjdP74nE/Byir1Zj1/RmsOZIqdljUzjGPUmurqFJh9eHrCFuyHx/vvoz8UiU6WBnhw9H+OPzmILzwiCeLU9I6jSpQ8/PzoVKp4OBQ+449Dg4OyMnJqXed0NBQbNy4EREREZDL5XB0dISlpSW++uorzZicnJxGvSYALFq0CBYWFpqHq6trY6ZC7YSRXIYVzwfi+b5uEARg4a4kfPRLEtTqRh04IGo2zKPUWiqraw7lhy3Zjw9/uYT80kq4WhthyTPdsf/1gXi+rzt7mJLWatJFUn9vgi4Iwn0boyclJWH27Nl49913ER8fj19//RWpqamYMWNGk18TAObPnw+FQqF53DvMRfR3MqkEH4zyx5tDvQEAqw6nYs6WRFRWq0SOjNoz5lFqKSq1gB1nMvHYfw/i/f8l4VZJJVwsjbB4TDf88dpAjAtyhb6MfaJJuzVqn76trS1kMlmdv8jz8vLq/OV+z6JFi9CvXz+88cYbAIDu3bvDxMQEYWFh+PDDD+Hk5ARHR8dGvSYAGBgYwMDAoDHhUzsmkUgwc6AXnCwM8cbWc/jf2Zu4VVKBbyKDYGHEvn7UephHqaUIgoA/Lufh09+u4HJOTfcSOzMDzH6sMyKCXHnzEmpTGvVtlcvlCAwMRGxsbK3lsbGxCA0NrXed8vJySKW130YmqzmkcO/6rJCQkDqvuXfv3vu+JlFTPdWrA9ZO6Q1TAz0cv16IcSuOIVtxR+ywqB1hHqWWcCFLgedWncC09adxOacEZoZ6eHOoNw69MQiRfd1ZnFLbIzTS5s2bBX19fSEmJkZISkoS5s6dK5iYmAhpaWmCIAjCW2+9JURGRmrGr127VtDT0xOioqKElJQU4ciRI0JQUJDQp08fzZijR48KMplMWLx4sXDp0iVh8eLFgp6ennD8+PEGx6VQKAQAgkKhaOyUqB26kHVbCPowVnD/v11C34/3CZezi8UOidqA5sozzKPUXHIUd4TXf0gUOr61S3D/v11C5wW7hY93JwlFZZVih0ZUr4bmmUYXqIIgCF9//bXg7u4uyOVyISAgQDh48KDmuUmTJgkDBgyoNf7LL78U/Pz8BCMjI8HJyUmYMGGCkJmZWWvM1q1bBW9vb0FfX1/w8fERtm/f3qiYmFipsdILyoRHl+4X3P9vl+D/3q9CXHK+2CGRlmvOPMM8Sg/jjrJaWP7HNcHn7T2C+//VFKf/+v6MkFFYJnZoRP+ooXmm0X1QtRX791FT3C5XYvr60zh9owhymRSfRfTAk92dxQ6LtJSu5xldn58uEAQB+y7l4YNdSUgvLAcABLpb4e3hvujlZiVydEQP1tA8w8Zn1K5ZGsvx3fRgzNmcgN8u5uJfmxKQW1yJaf09xA6NiKiWtPwyvPfzRRy8egsA4GBugH8/4YuRPZz/sVsDUVvEApXaPUN9GaImBOI//7uIDcdu4INdSchR3MH8Yb68BzURia6yWoUVB67j6wPJUFarIZdJMT3MA7MGebHBPuksfrOJUNMr9T8ju8LJwgif/HoZqw6nIqe4EkvHdoeBHhtZE5E44pLz8faPF3A9vwwAENbZFgtH+cPD1kTkyIhaFgtUorskEgleHtgJDuYGeHPbn71SV04Mgrkhe6USUetRlFfhw1+SsDU+E0BNP9N3n/TDk92deDif2gUWqER/MyagA+zMDDDj23hNr9R1U/rA0cJQ7NCISMcJgoA9F3Lw7k8XkV9aCYkEiOzrjteHePMPZWpX2LmXqB5hne2w5aUQ2JkZ4HJOCcZEHcW13BKxwyIiHVZQWolZ35/BzI1nkF9aiU52Jtg2IwQLR/mzOKV2hwUq0X34u1hgx8uh8LQzwU1FBZ6OjsOptEKxwyIiHbTnfDbCPz+E3edzoCeVYPajXtg9JwyB7tZih0YkChaoRP/A1doY22eEIsDNEsUV1Ziw+gR+vZAtdlhEpCMU5VWYvSkBL288g4IyJXwczfDjrH6YF+7NCzSpXWOBSvQAViZyfP9CXzzu5wBltRovbzyD9XFpYodFRG3c0eR8DF12CD+fvQmZVIJ/PeqFn1/pD38XC7FDIxIdC1SiBjDUl2HF84GYEOwGQQDe+/kiFu+5DLVaJ27ERkStqLJahQ92JWHC6hPIVlTAw9YE218OxWvh3pDr8dcyEcCr+IkaTCaV4MPR/nCyMMTSvVex4mAKcosr8MnT3flLhYgaJOVWKf71fQKSsosBAM/3dcO/n/CFsZy/jon+ij8RRI0gkUjwyqOd4WBuiLd2nMfOhCzkl1Yi+vlAmPKOLkR0H4IgYFt8Jt77+SLKlSpYm8jx6TPd8Zivg9ihEWkl7vYhaoKxQa5YPSkIxnIZDl/LR8Q3x5BXUiF2WESkhcqV1Xht61m8se0cypUqhHaywZ45YSxOif4BC1SiJhrkbY/NL/aFjYkcF28WY0xUHK7fKhU7LCLSItdySzBq+VHsOJMFqQR4Y4g3vp0WDAdz3viD6J+wQCV6CN07WGLHzFC42xgjs+gOno6Ow5n0IrHDIiIt8PPZmxi5/Ciu5ZXC3swA37/QF7MGeUEm5a1KiR6EBSrRQ3K3qbkCt3sHCxSVV+G5VcexLylX7LCISCRVKjUW/i8Jszcl4E6VCv28bPDL7DD09bQROzSiNoMFKlEzsDU1wKYX+mKgtx0qqtR48dvT2HQyXeywiKiV5ZdWYsLqE1hzNBUAMHNgJ2yYGgw7MwORIyNqW1igEjUTEwM9rJoYhHFBHaAWgPk7zuPz2KsQBPZKJWoPLmQpMPKrIziZWghTAz18ExmIN4f68JA+UROwLw5RM9KXSfHJ093haG6IL/9IxrLfryG3uAIfjvaHnox/DxLpql3nbuL1rWdRUaWGp60JVk4Mgpe9qdhhEbVZLFCJmplEIsG8cG/Ymxvi3Z8uYPOpDNwqqcTy5wJgJOe9tYl0iSAIWPb7NXyx7xoAYEAXO3z5bC9YGOmLHBlR28ZdOkQt5Pm+7ljxfCAM9KT4/XIenl11HIVlSrHDIqJmUlGlwpzNiZri9IUwD6yZ3JvFKVEzYIFK1ILCuzpi4/RgWBjpIzHjNp6JjkNGYbnYYRHRQyosU2LC6hP4+exN6EklWDymGxYM9+P5pkTNhAUqUQsL6miN7S+HwMXSCNfzyzAmOg4XshRih0VETZSWX4YxUUcRf6MI5oZ62DCtD8b3cRM7LCKdwgKVqBV42Zthx8xQ+Dia4VZJJcavPI4j1/LFDouIGikhvQhjouOQVlCODlZG2DEzFKGdbMUOi0jnsEAlaiUO5ob4YUYIQjxtUFpZjSnrTuKnxCyxwyKiBtp/JQ/PrTqBwjIlurlYYMfMUHjZm4kdFpFOYoFK1IrMDfWxbmpvPNndCVUqAXM2J2LloRT2SiXScjvOZGL6+tO4U6XCI13ssPnFvrA3MxQ7LCKdxQKVqJUZ6Mnw5fhemNbfAwDw8e7L+GDXJajVLFKJtNGaI6mY98NZqNQCxvRyQcykIJgYsEsjUUtigUokAqlUgnee9MOCJ3wBAGuOpuJfmxNQWa0SOTIiukcQBHyx7yoW7koCAEzr74GlY3tAnzfdIGpxTfopi4qKgoeHBwwNDREYGIjDhw/fd+zkyZMhkUjqPLp27Vpr3BdffAFvb28YGRnB1dUVr776KioqKpoSHlGb8cIjnvgioif0ZRL8ci4bk9acRHFFldhhUStgHtVugiDgo18uaXqcvvZ4F7w93BdStpEiahWNLlC3bNmCuXPnYsGCBUhISEBYWBiGDRuG9PT0escvW7YM2dnZmkdGRgasra0xduxYzZiNGzfirbfewnvvvYdLly4hJiYGW7Zswfz585s+M6I2YnQvF6yd3AemBno4fr0Q41YcQ24xiwpdxjyq3dRqAe/8dAGrj6QCAN4f4Yd/PdYZEgmLU6LWIhEaeXVGcHAwAgICEB0drVnm6+uL0aNHY9GiRQ9c/8cff8SYMWOQmpoKd3d3AMArr7yCS5cu4ffff9eMe+2113Dy5Mn77lWorKxEZWWl5t/FxcVwdXWFQqGAubl5Y6ZEpBUuZCkwee0p5JdWwsXSCOun9uYVwlqmuLgYFhYWD51nmEe1l1ot4K0d5/DD6UxIJMDiMd0Q0Zs9TomaS0PzaKP2oCqVSsTHxyM8PLzW8vDwcMTFxTXoNWJiYjB48GBNUgWA/v37Iz4+HidPngQAXL9+Hbt378bw4cPv+zqLFi2ChYWF5uHq6tqYqRBpHX8XC+ycGQpPWxNk3b6DZ1YcQ/yNIrHDombGPKq9VGoBb26vKU6lEuDzcT1ZnBKJpFEFan5+PlQqFRwcHGotd3BwQE5OzgPXz87Oxp49ezB9+vRay8ePH48PPvgA/fv3h76+Pjp16oRBgwbhrbfeuu9rzZ8/HwqFQvPIyMhozFSItJKrtTG2vRyKnq6WuF1ehedWHUdsUq7YYVEzYh7VTiq1gDe3ncO2+EzIpBIsG98Lo3u5iB0WUbvVpIuk/n4ejiAIDTo3Z926dbC0tMTo0aNrLT9w4AA++ugjREVF4cyZM9ixYwd27dqFDz744L6vZWBgAHNz81oPIl1gbSLH9y8E4zEfe1RWq/HSt6ex6WT95yZS28U8qj3UagHzd5zD9jM1xemX43thRA9nscMiatca1cjN1tYWMpmszl/5eXl5dfYG/J0gCFizZg0iIyMhl8trPffOO+8gMjJSs0egW7duKCsrw4svvogFCxZAKmVLD2pfjOV6+CYyEAt2XsCW0xmYv+M8chQVmDuYF2q0dcyj2kUQai6IundY/4uInhje3UnssIjavUZlLLlcjsDAQMTGxtZaHhsbi9DQ0H9c9+DBg0hOTsa0adPqPFdeXl4necpkMgiCwDvsULulJ5Ni8dPdMPtRLwDAst+v4d87z6NapRY5MnoYzKPaQxAEfPjLJWw8kQ6JBPhsXE/uOSXSEo2+Fca8efMQGRmJoKAghISEYOXKlUhPT8eMGTMA1JzTlJWVhQ0bNtRaLyYmBsHBwfD396/zmiNGjMBnn32GXr16ITg4GMnJyXjnnXcwcuRIyGSyJk6NqO2TSCSYF+4Ne3NDvPvTBWw6mYFbJZX46tkAGMn5s9FWMY9qh2W/X0PM3VZSn4zpznNOibRIowvUiIgIFBQUYOHChcjOzoa/vz92796tuZo0Ozu7Ti8/hUKB7du3Y9myZfW+5ttvvw2JRIK3334bWVlZsLOzw4gRI/DRRx81YUpEuuf5vu6wMzPA7E0J2HcpDxNWH0fMpN6wMpE/eGXSOsyj4os5kqppwv/eCD+M692+OxgQaZtG90HVVs3Vn5BIm51OK8S09aehuFMFTzsTrJ/SB67WxmKH1W7oep7R9fnds+NMJub9cBZAzR2i/vVYZ5EjImo/WqQPKhGJK6ijNbbNCIGzhSGu3yrD09FxSLpZLHZYRG3GH5dz8ca2cwCAaf098Mrdc7yJSLuwQCVqYzo7mGH7zFB4O5ghr6QSEd8cQ1xKvthhEWm9hPQizNx4Biq1gDG9XLDgCV92xSDSUixQidogJwsj/DAjBH08rFFSWY3Ja07hf2dvih0Wkda6fqsUU9edQkWVGgO97fDJM90hlbI4JdJWLFCJ2igLI31smNoHT3RzhFKlxuzNCVhz94pkIvpTfmklJq89haLyKnTvYIGvnwuAvoy//oi0GX9CidowQ30Zvno2AJNC3CEIwMJdSVi0+xLUap249pHood1RqjB9/WmkF5bD1doIayb3holBoxvYEFErY4FK1MbJpBK8P7Ir3hzqDQD45tB1vLb1LJTVbOhP7ZtaLWDeD4lIzLgNCyN9rJvSB7amBmKHRUQNwAKVSAdIJBLMHOiFpWN7QCaVYGdCFqatP4XSymqxQyMSzX9jr2DPhRzoyyRYGRmITnamYodERA3EApVIhzwT2AGrJwXBSF+Gw9fy8ezK47hVUil2WEStbseZTHy9PwUAsHhMdwR72ogcERE1BgtUIh0zyNsem1/sC2sTOc5nKfDMijik5ZeJHRZRqzmTXoS3tp8HAMwc2AlPB3YQOSIiaiwWqEQ6qIerJba/HApXayPcKCjH09FxOJd5W+ywiFpcjqICL30bD6VKjXA/B7we7i12SETUBCxQiXSUh60Jtr8ciq7O5igoU2L8yuM4ePWW2GERtZiKKhVe+i4et0oq4eNohs8jerLXKVEbxQKVSIfZmxli84t90d/LFuVKFaatO4Xt8Zlih0XU7ARBwLs/XcDZu1fsr4wMYjspojaMBSqRjjMz1Meayb0xqqczqtUCXtt6FisOpkAQ2CuVdMfGE+n44XQmpBJg+XO94GZjLHZIRPQQWKAStQNyPSk+H9cTL4R5AAAW77mMD3axoT/phoT0IvznfxcBAG8O9UFYZzuRIyKih8UClaidkEolWDDcDwue8AUArDmaitmbE1BZrRI5MqKmKyxTYubGM6hSCRja1REvPeIpdkhE1AxYoBK1My884oll43tCXybBrnPZmLL2FEoqqsQOi6jR1GoBc7ckIltRAU9bE3w6tjskEl4URaQLWKAStUOjerpg7eQ+MJHLEJdSgHHfHEdecYXYYRE1StSBZBy6eguG+lJEPR8AM0N9sUMiombCApWonerf2RZbXgqBrakBLmUXY0x0HFJulYodFlGDnLhegM9irwIAFo7yh4+jucgREVFzYoFK1I75u1hgx8uh6GhjjMyiO3gmOg4J6UVih0X0jwrLlJizORFqARgT4IJxQa5ih0REzYwFKlE752ZjjG0vh6JHBwsUlVfh2VXH8cflXLHDIqqXIAh4c9tZ5BRXwNPOBB+M8hc7JCJqASxQiQi2pgb4/oW+GNDFDhVVarywIR4/nMoQOyyiOr49fgP7LuVBLpNi+bMBbMZPpKNYoBIRAMDEQA+rJwXh6YAOUKkFvLn9HJb/cY0N/UlrXMkpwYe/XAIAzH/CB37OPO+USFexQCUiDX2ZFEvHdsfLAzsBAJbuvYr3fr4IFRv6k8gqq1WYszkBymo1BnnbYXJoR7FDIqIWxAKViGqRSCT4v6E+eH+EHyQSYMOxG3jl+zOoqGJDfxLPf/dexeWcEtiYyLHkmR7sd0qk41igElG9JvfzwPJnAyCXSbHnQg4mrjkJxR029KfWd+J6AVYdvg4AWPx0d9iZGYgcERG1NBaoRHRfw7s7Yd3U3jAz0MPJ1EKMW3EMOQo29KfWU1pZjde2noUgABFBrnjcz0HskIioFbBAJaJ/FNqppqG/nZkBruSWYEzUUSTnlYgdFrUTH+++hMyiO+hgZYS3n/QVOxwiaiVNKlCjoqLg4eEBQ0NDBAYG4vDhw/cdO3nyZEgkkjqPrl271hp3+/ZtzJo1C05OTjA0NISvry92797dlPCIqJn5OZtjx8uh8LQ1wU1FBZ6OPob4G4Vih9WmMY8+2KGrt/D9iXQAwKfP9OCtTInakUYXqFu2bMHcuXOxYMECJCQkICwsDMOGDUN6enq945ctW4bs7GzNIyMjA9bW1hg7dqxmjFKpxOOPP460tDRs27YNV65cwapVq+Di4tL0mRFRs3K1rmno39PVEoo7VXhu1QnEJrGhf1Mwjz5YSUUV3tp+DgAwKcQdIZ1sRI6IiFqTRGhkk8Pg4GAEBAQgOjpas8zX1xejR4/GokWLHrj+jz/+iDFjxiA1NRXu7u4AgBUrVuDTTz/F5cuXoa/ftL+Qi4uLYWFhAYVCAXNz9sYjainlymq88n0C/ricB6kE+Pipbhjfx03ssFpFc+UZ5tEHe/vH8/jueDpcrY3w29xHYCxnQ34iXdDQPNOoPahKpRLx8fEIDw+vtTw8PBxxcXENeo2YmBgMHjxYk1QB4Oeff0ZISAhmzZoFBwcH+Pv74+OPP4ZKdf+2NpWVlSguLq71IKKWZyzXwzeRgRgb2AFqAXhrx3ks28eG/g3FPPpgJ64X4LvjNXuTPxnTncUpUTvUqAI1Pz8fKpUKDg61r6J0cHBATk7OA9fPzs7Gnj17MH369FrLr1+/jm3btkGlUmH37t14++238d///hcfffTRfV9r0aJFsLCw0DxcXV0bMxUiegj6MimWPNMdrwzyAgB8vu8q3v7xAhv6NwDz6D+rqFJh/o7zAIBn+7gi1MtW5IiISAxNukjq7w2SBUFoUNPkdevWwdLSEqNHj661XK1Ww97eHitXrkRgYCDGjx+PBQsW1Dr89Xfz58+HQqHQPDIyeN9wotYkkUjw+hBvLBzVFRIJsPFEOl7+Lp4N/RuIebR+y/9IxvX8MtibGeCtYbxqn6i9atRxE1tbW8hksjp/5efl5dXZG/B3giBgzZo1iIyMhFwur/Wck5MT9PX1IZPJNMt8fX2Rk5MDpVJZZzwAGBgYwMCAzZqJxDYxpCNsTQ0wd3Mi9iblIjLmBFZP7A0LY15xXR/m0fu7mluCbw6lAAD+M7IrLIz4HSJqrxq1B1UulyMwMBCxsbG1lsfGxiI0NPQf1z148CCSk5Mxbdq0Os/169cPycnJUKvVmmVXr16Fk5NTvUmViLTLE92csGFaH5gZ6uFUWhHGfhOHbMUdscPSSsyj9VOrBSzYeR5VKgGDfR0wrJuT2CERkYgafYh/3rx5WL16NdasWYNLly7h1VdfRXp6OmbMmAGg5pDRxIkT66wXExOD4OBg+Pv713nu5ZdfRkFBAebMmYOrV6/il19+wccff4xZs2Y1YUpEJIa+njbYOiMEDuYGuJpbijFRcbiWy4b+9WEerWtbfCZOpRXBWC7Df0Z1ffAKRKTTGn1pZEREBAoKCrBw4UJkZ2fD398fu3fv1lxNmp2dXaeXn0KhwPbt27Fs2bJ6X9PV1RV79+7Fq6++iu7du8PFxQVz5szB//3f/zVhSkQkFh9Hc+yY2Q8TY04g5VYZnllxDDGTghDU0Vrs0LQK82htRWVKLNpzCQAwd3BnuFgaiRwREYmt0X1QtZU29e8jau+KypSYtv4UzqTfhoGeFF892wvhXR3FDuuh6XqeEWt+83ecx6aT6fB2MMOu2f2hL+NduIl0VYv0QSUiaggrEzk2Tu+Lwb72qKxWY8Z38ZpbVhL91bnM29h8qua78cFofxanRASABSoRtRAjuQwrng/E+N6uUAvAv3eexxf7rrKhP2mo1QLe/ekiBAF4qpcL+njwVBAiqsEClYhajJ5MikVjumH2ozUN/b/Ydw0L2NCf7tqRkIXEjNswkcswf5iP2OEQkRZhgUpELUoikWBeuDc+HO0PiQT4ng39CUBpZTU++fUyAOBfj3WGvbmhyBERkTZhgUpEreL5vu6InhAAuZ4Ue5Ny8fzqE7hdrhQ7LBLJ1/uTcaukEh1tjDGlX0exwyEiLcMClYhazVB/J3w7taah/+kbRRi74hhu3mZD//Ymo7AcMYdTAQALhvvBQE/2gDWIqL1hgUpErSr4bkN/R3NDXMsrxdPRcbjKhv7tyuJfL0OpUqOflw0G+9qLHQ4RaSEWqETU6nwczbF9Zii87E2RrajAM9FxOJVWKHZY1AribxThl3PZkEiAt4f7QSKRiB0SEWkhFqhEJAoXSyNsmxGCADdLFFdU4/nVJ/DbxRyxw6IWJAgCFu2uuWPU2MAO8HXSvZsdEFHzYIFKRKKxNK7d0P/l7+Kx8cQNscOiFrI3KRenbxTBUF+KeY97ix0OEWkxFqhEJKp7Df0jgmoa+i/YeQGfx7Khv66pVqmx5G5bqen9PeFowbZSRHR/LFCJSHR6MikWP/1nQ/9lv1/Dv3deQLVKLXJk1Fy2xWci5VYZrE3keGmAp9jhEJGWY4FKRFrhXkP/D+429N90Mh0vbzzDhv46oKJKhS/2XQMAzBrkBTNDfZEjIiJtxwKViLRK5F8a+seyob9O+PbYDeQUV8DZwhATgt3EDoeI2gAWqESkde419DdnQ/82r7SyGtEHUwAAcwZ3hqE+m/IT0YOxQCUirVTT0D+UDf3buHVHU1FYpoSHrQmeDuggdjhE1EawQCUireXtaFanof9pNvRvM4orqrDy0HUAwNzBnaEn468cImoYZgsi0moulkbY+tKfDf0nrD6BvWzo3yasOZKK4opqdLY3xZPdncUOh4jaEBaoRKT1rExqN/Sf8V08vj+RLnZY9A8Ud6oQcyQVQM25pzIpb2lKRA3HApWI2oR7Df3H965p6P/vnefxxT429NdW646moaSiGl0cTPGEv5PY4RBRG8MClYjaDD2ZFIvG/NnQ/4t9NQ39VWoWqdqkpKIKMUdqzj3916OdIeXeUyJqJBaoRNSm1NvQ/7t4NvTXIt8dT0dxRTU87UzwRDfuPSWixmOBSkRt0l8b+u9NykVkzAkoyqvEDqvdu6NUYfXhmr2nswZ68dxTImoSFqhE1Gbda+hvZqiHU2lFGPtNHBv6i+yH0xkoKFOig5URRvbklftE1DQsUImoTatp6B8CB3MDXM1lQ38xVanUmr6nLw3oBH32PSWiJmL2IKI2z8fRHNtfDkUnOxNkKyowdsUxNvQXwf/O3kTW7TuwNTXA2EDeNYqImo4FKhHphA5Wxtg2IxS93CyhuFPFhv6tTBAEfHOwZu/plH4dYagvEzkiImrLmlSgRkVFwcPDA4aGhggMDMThw4fvO3by5MmQSCR1Hl27dq13/ObNmyGRSDB69OimhEZE7ZiViRzfT++Lx3z+bOi/6aR2NvTXtTx64OotXMktgYlchuf7urfa+xKRbmp0gbplyxbMnTsXCxYsQEJCAsLCwjBs2DCkp9f/S2DZsmXIzs7WPDIyMmBtbY2xY8fWGXvjxg28/vrrCAsLa/xMiIhQ09D/m8hARATVNPSfv+M8lu27plUN/XUxj967cn98HzdYGOm36nsTke5pdIH62WefYdq0aZg+fTp8fX3xxRdfwNXVFdHR0fWOt7CwgKOjo+Zx+vRpFBUVYcqUKbXGqVQqTJgwAf/5z3/g6enZtNkQEaGmof/ip7vhX3cb+n++7yre/lF7GvrrWh69eFOBo8kFkEklmNrfo9Xel4h0V6MKVKVSifj4eISHh9daHh4ejri4uAa9RkxMDAYPHgx399qHgBYuXAg7OztMmzatQa9TWVmJ4uLiWg8ionskEgleC/fGB6O6QiIBNp5Ix8yN4jf018U8GnMkFQDwRDcnuFgaNek1iIj+qlEFan5+PlQqFRwcHGotd3BwQE7Ogy9GyM7Oxp49ezB9+vRay48ePYqYmBisWrWqwbEsWrQIFhYWmoerq2uD1yWi9iMypCOinguAXCbFbxfFb+iva3k0r7gC/zt7EwAwnXtPiaiZNOkiKYmk9p1BBEGos6w+69atg6WlZa0T90tKSvD8889j1apVsLW1bXAM8+fPh0Kh0DwyMjIavC4RtS/Dujlhw7Q+MDOoaeg/7ptjyFaI29BfV/Lod8dvoEolIMjdCj1cLRu9PhFRffQaM9jW1hYymazOX/l5eXl19gb8nSAIWLNmDSIjIyGXyzXLU1JSkJaWhhEjRmiWqdXqmuD09HDlyhV06tSpzusZGBjAwMCgMeETUTvW19MGP8wIwaQ1J3EltwRPR8Vhw7Q+8LI3a9U4dCmPVlarsPFEzYVdU/px7ykRNZ9G7UGVy+UIDAxEbGxsreWxsbEIDQ39x3UPHjyI5OTkOudG+fj44Pz580hMTNQ8Ro4ciUGDBiExMZGH7omo2fg6mWPHzFB42pngpqIC41eeQLmyulVj0KU8+r+z2SgoU8LJwhBDuv5zcU1E1BiN2oMKAPPmzUNkZCSCgoIQEhKClStXIj09HTNmzABQc8goKysLGzZsqLVeTEwMgoOD4e/vX2u5oaFhnWWWlpYAUGc5EdHD6mBljO0zQjF9w2lMDHGHsbzRafCh6Uoe9XE0w/BuTujhagE93taUiJpRozNzREQECgoKsHDhQmRnZ8Pf3x+7d+/WXE2anZ1dp5efQqHA9u3bsWzZsuaJmojoIViZyPHDSyGQSR98zmdL0JU86u9iga8nBIgdBhHpIImgTd2rH0JxcTEsLCygUChgbm4udjhEpIN0Pc/o+vyISHwNzTM8JkNEREREWoUFKhERERFpFRaoRERERKRVWKASERERkVZhgUpEREREWoUFKhERERFpldbvUN1C7nXLKi4uFjkSItJV9/KLjnTnq4N5lIhaWkPzqM4UqCUlJQDAW6MSUYsrKSmBhYWF2GE0O+ZRImotD8qjOtOoX61W4+bNmzAzM4NE0rC7wxQXF8PV1RUZGRlsSt1MuE2bH7dpy2jKdhUEASUlJXB2doZUqntnSDUljzZG7969cerUqVZ9jYaOf9C4+z3fmOV/XSbmz7UYn0ND12nq53C/5xqyrL19FmL/TDQ0j+rMHlSpVIoOHTo0aV1zc3P+4m9m3KbNj9u0ZTR2u+rintN7HiaPNoRMJnvo73BjX6Oh4x807n7PN2Z5fcvE+LkW43No6DpN/Rzu91xDlwHt57PQhp+JhuRR3dsFQEREWmnWrFmt/hoNHf+gcfd7vjHLm2P+zUGMz6Gh6zT1c7jfc9r8OQD8mfgnOnOIvyl43+nmx23a/LhNWwa3K4mJ3z/twc9CO7XrPagGBgZ47733YGBgIHYoOoPbtPlxm7YMblcSE79/2oOfhXZq13tQiYiIiEj7tOs9qERERESkfVigEhEREZFWYYFKRERERFqFBSoRERERaRUWqERERESkVXSqQI2KioKHhwcMDQ0RGBiIw4cP/+P4gwcPIjAwEIaGhvD09MSKFSvqjNm+fTv8/PxgYGAAPz8/7Ny5s6XC10rNvU3XrVsHiURS51FRUdGS09A6jdmu2dnZeO655+Dt7Q2pVIq5c+fWO47f1ebdpvyuktjKy8vh7u6O119/XexQ2i09PT307NkTPXv2xPTp08UOp13RmQJ1y5YtmDt3LhYsWICEhASEhYVh2LBhSE9Pr3d8amoqnnjiCYSFhSEhIQH//ve/MXv2bGzfvl0z5tixY4iIiEBkZCTOnj2LyMhIjBs3DidOnGitaYmqJbYpUHM7uezs7FoPQ0PD1piSVmjsdq2srISdnR0WLFiAHj161DuG39Xm36YAv6skro8++gjBwcFih9GuWVpaIjExEYmJiVi9erXY4bQvgo7o06ePMGPGjFrLfHx8hLfeeqve8W+++abg4+NTa9lLL70k9O3bV/PvcePGCUOHDq01ZsiQIcL48eObKWrt1hLbdO3atYKFhUWzx9qWNHa7/tWAAQOEOXPm1FnO72rzb1N+V0lMV69eFcaMGSOsXbtWeO2118QOp92ysbERO4R2Syf2oCqVSsTHxyM8PLzW8vDwcMTFxdW7zrFjx+qMHzJkCE6fPo2qqqp/HHO/19QlLbVNAaC0tBTu7u7o0KEDnnzySSQkJDT/BLRUU7ZrQ/C72vzbFGjf31VqukOHDmHEiBFwdnaGRCLBjz/+WGfMg05Jef3117Fo0aJWilg3NcfnUFxcjMDAQPTv3x8HDx5spcgJ0JFD/Pn5+VCpVHBwcKi13MHBATk5OfWuk5OTU+/46upq5Ofn/+OY+72mLmmpberj44N169bh559/xqZNm2BoaIh+/frh2rVrLTMRLdOU7doQ/K42/zZt799VarqysjL06NEDy5cvr/f5B52S8tNPP6FLly7o0qVLa4atcx72cwCAtLQ0xMfHY8WKFZg4cSKKi4tbK/x2T0/sAJqTRCKp9W9BEOose9D4vy9v7Gvqmubepn379kXfvn01z/fr1w8BAQH46quv8OWXXzZX2FqvJb5X/K427/z5XaWmGjZsGIYNG3bf5z/77DNMmzZNc9HNF198gd9++w3R0dFYtGgRjh8/js2bN2Pr1q0oLS1FVVUVzM3N8e6777bWFHTCw34OAODs7AwA8Pf3h5+fH65evYqgoKCWD550Yw+qra0tZDJZnb0leXl5dfaq3OPo6FjveD09PdjY2PzjmPu9pi5pqW36d1KpFL179243e6Wasl0bgt/V5t+mf9fevqvUMhpySsqiRYuQkZGBtLQ0LF26FC+88AKL02bWkM+hqKgIlZWVAIDMzEwkJSXB09Oz1WNtr3SiQJXL5QgMDERsbGyt5bGxsQgNDa13nZCQkDrj9+7di6CgIOjr6//jmPu9pi5pqW36d4IgIDExEU5OTs0TuJZrynZtCH5Xm3+b/l17+65Sy2ipU1KocRryOVy6dAlBQUHo0aMHnnzySSxbtgzW1tZihNs+iXV1VnPbvHmzoK+vL8TExAhJSUnC3LlzBRMTEyEtLU0QBEF46623hMjISM3469evC8bGxsKrr74qJCUlCTExMYK+vr6wbds2zZijR48KMplMWLx4sXDp0iVh8eLFgp6ennD8+PFWn58YWmKbvv/++8Kvv/4qpKSkCAkJCcKUKVMEPT094cSJE60+P7E0drsKgiAkJCQICQkJQmBgoPDcc88JCQkJwsWLFzXP87va/NuU31VqDgCEnTt3av6dlZUlABDi4uJqjfvwww8Fb2/vVo6u/eDn0PboTIEqCILw9ddfC+7u7oJcLhcCAgKEgwcPap6bNGmSMGDAgFrjDxw4IPTq1UuQy+VCx44dhejo6DqvuXXrVsHb21vQ19cXfHx8hO3bt7f0NLRKc2/TuXPnCm5uboJcLhfs7OyE8PDwOgmiPWjsdgVQ5+Hu7l5rDL+rzbtN+V2l5vD3wqiyslKQyWTCjh07ao2bPXu28Mgjj7RydO0HP4e2RyIId69iISIiomYlkUiwc+dOjB49WrMsODgYgYGBiIqK0izz8/PDqFGj2FqqhfBzaHt06ip+IiIisZWWliI5OVnz79TUVCQmJsLa2hpubm6YN28eIiMjERQUhJCQEKxcuRLp6emYMWOGiFHrHn4ObRv3oBIRETWjAwcOYNCgQXWWT5o0CevWrQNQ0yB+yZIlyM7Ohr+/Pz7//HM88sgjrRypbuPn0LaxQCUiIiIiraITbaaIiIiISHewQCUiIiIircIClYiIiIi0CgtUIiIiItIqLFCJiIiISKuwQKVWN3nyZEgkkjqPv/arIyIiovaLjfpJFEOHDsXatWtrLbOzs6v1b6VSCblc3pphERERkRbgHlQShYGBARwdHWs9HnvsMbzyyiuYN28ebG1t8fjjjwMAkpKS8MQTT8DU1BQODg6IjIxEfn6+5rXKysowceJEmJqawsnJCf/9738xcOBAzJ07VzNGIpHgxx9/rBWDpaWlplkzAGRlZSEiIgJWVlawsbHBqFGjkJaWpnl+8uTJGD16NJYuXQonJyfY2Nhg1qxZqKqq0oyprKzEm2++CVdXVxgYGKBz586IiYmBIAjw8vLC0qVLa8Vw4cIFSKVSpKSkPPxGJSIi0hEsUEmrrF+/Hnp6ejh69Ci++eYbZGdnY8CAAejZsydOnz6NX3/9Fbm5uRg3bpxmnTfeeAP79+/Hzp07sXfvXhw4cADx8fGNet/y8nIMGjQIpqamOHToEI4cOQJTU1MMHToUSqVSM27//v1ISUnB/v37sX79eqxbt65WkTtx4kRs3rwZX375JS5duoQVK1bA1NQUEokEU6dOrbPXeM2aNQgLC0OnTp2atsGIiIh0kUDUyiZNmiTIZDLBxMRE83jmmWeEAQMGCD179qw19p133hHCw8NrLcvIyBAACFeuXBFKSkoEuVwubN68WfN8QUGBYGRkJMyZM0ezDICwc+fOWq9jYWEhrF27VhAEQYiJiRG8vb0FtVqteb6yslIwMjISfvvtN03c7u7uQnV1tWbM2LFjhYiICEEQBOHKlSsCACE2Nrbeed+8eVOQyWTCiRMnBEEQBKVSKdjZ2Qnr1q1rwFYjIiJqP7gHlUQxaNAgJCYmah5ffvklACAoKKjWuPj4eOzfvx+mpqaah4+PDwAgJSUFKSkpUCqVCAkJ0axjbW0Nb2/vRsUTHx+P5ORkmJmZad7H2toaFRUVtQ6/d+3aFTKZTPNvJycn5OXlAQASExMhk8kwYMCAet/DyckJw4cPx5o1awAAu3btQkVFBcaOHduoWImIxJaRkYFp06bB2dkZcrkc7u7umDNnDgoKCsQOjXQEL5IiUZiYmMDLy6ve5X+lVqsxYsQIfPLJJ3XGOjk54dq1aw16P4lEAkEQai3767mjarUagYGB2LhxY511/3rxlr6+fp3XVavVAAAjI6MHxjF9+nRERkbi888/x9q1axEREQFjY+MGzYGISBtcv34dISEh6NKlCzZt2gQPDw9cvHgRb7zxBvbs2YPjx4/D2tpa7DCpjWOBSlotICAA27dvR8eOHaGnV/fr6uXlBX19fRw/fhxubm4AgKKiIly9erXWnkw7OztkZ2dr/n3t2jWUl5fXep8tW7bA3t4e5ubmTYq1W7duUKvVOHjwIAYPHlzvmCeeeAImJiaIjo7Gnj17cOjQoSa9FxGRWGbNmgW5XI69e/dq/jB3c3NDr1690KlTJyxYsADR0dEiR0ltHQ/xk1abNWsWCgsL8eyzz+LkyZO4fv069u7di6lTp0KlUsHU1BTTpk3DG2+8gd9//x0XLlzA5MmTIZXW/mo/+uijWL58Oc6cOYPTp09jxowZtfaGTpgwAba2thg1ahQOHz6M1NRUHDx4EHPmzEFmZmaDYu3YsSMmTZqEqVOn4scff0RqaioOHDiAH374QTNGJpNh8uTJmD9/Pry8vGqdmkBEpO0KCwvx22+/YebMmXWOGjk6OmLChAnYsmVLnSNWRI3FApW0mrOzM44ePQqVSoUhQ4bA398fc+bMgYWFhaYI/fTTT/HII49g5MiRGDx4MPr374/AwMBar/Pf//4Xrq6ueOSRR/Dcc8/h9ddfr3Vo3djYGIcOHYKbmxvGjBkDX19fTJ06FXfu3GnUHtXo6Gg888wzmDlzJnx8fPDCCy+grKys1php06ZBqVRi6tSpD7FliIha37Vr1yAIAnx9fet93tfXF0VFRbh161YrR0a6RiLwzxzSQQMHDkTPnj3xxRdfiB1KHUePHsXAgQORmZkJBwcHscMhImqwEydOoG/fvti5cydGjx5d5/nPPvsMr732GoqKimBpadnq8ZHu4B5UolZSWVmJ5ORkvPPOOxg3bhyLUyJqc7y8vCCRSJCUlFTv85cvX4adnR2LU3poLFCJWsmmTZvg7e0NhUKBJUuWiB0OEVGj2djY4PHHH0dUVBTu3LlT67mcnBxs3LgRkydPFic40ik8xE9EREQNdu3aNYSGhsLX1xcffvhhrTZTenp6OHz4MExNTcUOk9o47kElIiKiBuvcuTNOnToFT09PjBs3Du7u7hg2bBi6dOmCo0ePsjilZsE9qERERPRQ3nvvPXz22WfYu3cv2+dRs2CBSkRERA9t7dq1UCgUmD17dp1e1ESNxQKViIiIiLQK/8QhIiIiIq3CApWIiIiItAoLVCIiIiLSKixQiYiIiEirsEAlIiIiIq3CApWIiIiItAoLVCIiIiLSKixQiYiIiEirsEAlIiIiIq3y/x4HPmao9uYdAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make a path that matches the axis extent in the paper, and put 100 k-points to capture the quasi-BIC well\n", "path = phc.lattice.bz_path(['G', 0.15*np.array([2*np.pi, 0])], [100])\n", "\n", "neig = 2 # number of Bloch bands to store\n", "gmax = 6 # truncation of reciprocal lattice vectors\n", "\n", "# Initialize GME\n", "gme = legume.GuidedModeExp(phc, gmax=gmax)\n", "\n", "# Set some of the running options\n", "options = {'gmode_inds': [1, 3, 5, 7], # Take only the modes with H in the xy-plane\n", " 'numeig': neig, \n", " 'verbose': False\n", " }\n", "\n", "# Run the simulation\n", "gme.run(kpoints=path['kpoints'], **options)\n", "\n", "# Plot the frequency and the quality factor\n", "fig, ax = plt.subplots(1, 2, figsize=(8, 3))\n", "indmode = 1\n", "ax[0].plot(gme.kpoints[0, :]/2/np.pi, gme.freqs[:, indmode])\n", "ax[0].set_xlabel('Wave vector')\n", "ax[0].set_xlabel('Frequency')\n", "ax[1].plot(gme.freqs[:, indmode]/2/gme.freqs_im[:, indmode], gme.freqs[:, indmode])\n", "ax[1].set_xscale('log')\n", "ax[1].set_xlabel('Q');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we reproduce Fig. 3(b) from the paper. Note that the `legume` GME method computes the coupling constant of each Bloch mode to plane waves outgoing in the lower and in the upper cladding, for TE- and TM-polarized outgoing light (equvalently, S and P polarization, respectively). These are stored in the dictionary `gme.rad_coup`, with keys `'l_te'`, `'l_tm'`, `'u_te'`, and `'u_tm'`. Each item is a list of `Nk` lists of `numeig` elements, giving the coupling constants at each `k` for each mode. Finally, the elements are numpy arrays with as many elements as there are allowed diffraction orders, with the corresponding reciprocal lattice vectors stored in `gme.rad_gvec`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Nk = gme.kpoints[0, :].size\n", "# Coupling constant to lower-cladding TM modes \n", "dl = np.array([gme.rad_coup['l_tm'][ik][1] for ik in range(Nk)])\n", "# Coupling constant to upper-cladding TM modes \n", "du = np.array([gme.rad_coup['u_tm'][ik][1] for ik in range(Nk)])\n", "# Note: the coupling to TE modes is zero because of the kz symmetry\n", "\n", "fig, ax = plt.subplots(1)\n", "# Plot the asymmetric coupling ratio\n", "color = 'tab:blue'\n", "ax.plot(gme.kpoints[0, :]/2/np.pi, np.abs(dl/du)**2)\n", "ax.set_yscale('log')\n", "ax.set_ylabel('Asymmetric Coupling Ratio', color=color)\n", "ax.tick_params(axis='y', labelcolor=color)\n", "\n", "# Plot the quality factor\n", "ax2 = ax.twinx() # instantiate a second axes that shares the same x-axis\n", "color = 'tab:red'\n", "ax2.plot(gme.kpoints[0, :]/2/np.pi, gme.freqs[:, indmode]/2/gme.freqs_im[:, indmode], color=color)\n", "ax2.set_yscale('log')\n", "ax2.set_ylabel('Q', color=color)\n", "ax2.tick_params(axis='y', labelcolor=color)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The agreement with Fig. 3(b) of Zhou et al., Optica (2016) is not *perfect*: for example, the BIC as computed by `legume` occurs slightly closer to the $\\Gamma$ point. However, the agreement is still quite good, and the important physics is captured.\n", "\n", "![](img/grating_asymmetric.png)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 4 }